Edit Profile (opens in new tab) Liu, Kefeng Co-Author Distance Author ID: liu.kefeng Published as: Liu, Kefeng; Liu, KeFeng; Liu, Ke Feng; Liu, Ke-feng; Liu, Ke-Feng; Lin, Kefeng; Liu, K. more...less Homepage: http://www.math.ucla.edu/~liu/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 208 Publications since 1992, including 36 Additional arXiv Preprints 18 Contributions as Editor Biographic References: 2 Publications Co-Authors: 85 Co-Authors with 199 Joint Publications 2,487 Co-Co-Authors all top 5 Co-Authors 24 single-authored 48 Yau, Shing-Tung 17 Kong, Dexing 17 Ma, Xiaonan 16 Xu, Hao 15 Lian, Bong H. 15 Yang, Xiao-Kui 13 Shen, Yang 12 Ji, Lizhen 12 Sun, Xiaofeng 12 Zhang, Weiping 10 Wan, Xueyuan 8 Yang, Lo 8 Zhou, Jian 8 Zhu, Shengmao 7 Han, Fei 6 Chen, Qingtao 6 Cheng, Shiu-Yuen 6 Feng, Huitao 6 Kang, Ming-Chang 6 Peng, Pan 6 Shu, Chi-Wang 6 Xu, Hongwei 6 Zhao, En-Tao 5 Liu, Chiu-Chu Melissa 5 Wang, Yong 4 Liu, Chien-Hao 4 Rao, Sheng 4 Todorov, Andrey N. 3 Dai, Xianzhe 3 Dai, Xingyu 3 Dong, Chongying 3 Kim, Yon-Seo 3 Li, Fang 3 Li, Ping 2 Chen, Xiaojing 2 Dai, Wenrong 2 He, Chunlei 2 Hong, Mei 2 Huang, Chunle 2 Li, Jun 2 Li, Peter 2 Li, Yi 2 Schoen, Richard Melvin 2 Shen, Ming 2 Shen, Ming 2 Wang, Yuzhu 2 Wu, Yunhui 2 Ye, Fei 2 Yin, Changyong 2 Zhang, Ren 2 Zuo, Kang 1 Bogomolov, Fedor Alekseivich 1 Cai, Ronggen 1 Cao, Junliang 1 Chai, Chingli 1 Chen, Jie 1 Chen, Lin 1 Cheng, Qing-Meng 1 de Lamare, Rodrigo C. 1 D’Hoker, Eric 1 Dolan, Louise 1 Dong, Fangfang 1 Eguchi, Tohru 1 Ferrara, Sergio 1 Fine, Joel 1 Fu, Baohua 1 Gao, Changjun 1 Gao, Yihong 1 Ge, Xianhui 1 Gong, Donggeng 1 Guan, Feng 1 Gukov, Sergei 1 Hawking, Stephen William 1 He, Jie 1 Hosono, Shinobu 1 Hu, Jiaxin 1 Hu, Sen 1 Huang, Ruizhi 1 Kaloorazi, Maboud Farzaneh 1 Kazhdan, David 1 Kontsevich, Maxim 1 Krichever, Igor’ Moiseevich 1 Li, Miao 1 Lian, Lian 1 Liu, Chunxiao 1 Luo, Feng 1 Manin, Yuriĭ Ivanovich 1 Mulase, Motohico 1 Nappi, Chiara R. 1 Phong, Duong Hong 1 Sakai, Kazuhiro 1 Shen, Yougen 1 Strominger, Andrew Eben 1 Thomas, Richard Paul 1 Tu, Jie 1 Vakil, Ravi 1 Wan, Jianming 1 Wan, Qilin 1 Wang, Bin 1 Wang, Huizan ...and 19 more Co-Authors all top 5 Serials 15 Mathematical Research Letters 13 Pure and Applied Mathematics Quarterly 12 The Asian Journal of Mathematics 12 Science China. Mathematics 10 Journal of Differential Geometry 6 Science in China. Series A 6 Advanced Lectures in Mathematics (ALM) 5 ICCM Notices 4 International Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Communications in Analysis and Geometry 3 Communications in Mathematical Physics 3 Transactions of the American Mathematical Society 3 Journal of Algebraic Geometry 2 Journal of Geometry and Physics 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Advances in Theoretical and Mathematical Physics 2 Acta Mathematica Sinica. English Series 1 Analysis Mathematica 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology 1 Applied Mathematics and Mechanics. (English Edition) 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Imaging and Vision 1 Nuclear Physics. B. Proceedings Supplements 1 Methods and Applications of Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Jiangsu University of Science and Technology. Natural Science Edition 1 AMS/IP Studies in Advanced Mathematics 1 Communications in Number Theory and Physics 1 Chinese Journal of Engineering Mathematics 1 Journal of the Iranian Mathematical Society all top 5 Fields 77 Algebraic geometry (14-XX) 66 Differential geometry (53-XX) 54 Global analysis, analysis on manifolds (58-XX) 49 Several complex variables and analytic spaces (32-XX) 38 Manifolds and cell complexes (57-XX) 25 Quantum theory (81-XX) 18 General and overarching topics; collections (00-XX) 14 Partial differential equations (35-XX) 11 History and biography (01-XX) 10 Number theory (11-XX) 10 Functions of a complex variable (30-XX) 9 \(K\)-theory (19-XX) 9 Group theory and generalizations (20-XX) 8 Relativity and gravitational theory (83-XX) 6 Topological groups, Lie groups (22-XX) 5 Nonassociative rings and algebras (17-XX) 5 Algebraic topology (55-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,322 times in 857 Documents Cited by ▼ Year ▼ Mirror principle. I. Zbl 0953.14026 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 101 1997 On the asymptotic expansion of Bergman kernel. Zbl 1099.32003 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 79 2006 Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 68 2004 A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 45 2003 A mathematical theory of the topological vertex. Zbl 1184.14084 Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 44 2009 Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 43 2005 Ricci curvatures on Hermitian manifolds. Zbl 1365.53065 Liu, Kefeng; Yang, Xiaokui 37 2017 Geometry of Hermitian manifolds. Zbl 1248.53055 Liu, Ke-Feng; Yang, Xiao-Kui 35 2012 Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129 Liu, Kefeng; Peng, Pan 29 2010 A formula of two-partition Hodge integrals. Zbl 1111.14053 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 27 2007 Geometric height inequalities. Zbl 0867.11044 Liu, Kefeng 26 1996 On modular invariance and rigidity theorems. Zbl 0836.57024 Liu, Kefeng 25 1995 Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515 Kong, De-Xing; Liu, Kefeng 25 2007 Modular invariance and characteristic numbers. Zbl 0867.57021 Liu, Kefeng 24 1995 Calabi flow and projective embeddings. Zbl 1202.32018 Fine, Joel; Liu, Kefeng; Ma, Xiaonan 24 2010 Hyperbolic mean curvature flow. Zbl 1159.53024 He, Chun-Lei; Kong, De-Xing; Liu, Kefeng 22 2009 Mirror principle. III. Zbl 1009.14006 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 21 1999 Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057 Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui 21 2013 Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084 Kong, Dexing; Liu, Kefeng; Wang, Yuzhu 20 2010 Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017 Liu, Kefeng; Rao, Sheng; Yang, Xiaokui 20 2015 On elliptic genera and theta-functions. Zbl 0858.57034 Liu, Kefeng 18 1996 Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059 Liu, Kefeng; Xu, Hao 18 2009 Topological string partition functions as equivariant indices. Zbl 1129.14024 Li, Jun; Liu, Kefeng; Zhou, Jian 16 2006 Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020 Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng 16 2010 The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243 Kong, De-Xing; Liu, Kefeng; Xu, De-Liang 16 2009 A proof of the Faber intersection number conjecture. Zbl 1206.14079 Liu, Kefeng; Xu, Hao 15 2009 Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061 Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao 14 2013 Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018 Kong, Dexing; Liu, Kefeng; Wang, Zenggui 13 2009 On family rigidity theorems. I. Zbl 0988.58010 Liu, Kefeng; Ma, Xiaonan 13 2000 Mirror principle. II. Zbl 0974.14025 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 13 1999 Dissipative hyperbolic geometric flow. Zbl 1165.58013 Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng 12 2008 Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205 Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu 11 2011 Holomorphic equivariant cohomology. Zbl 0835.14006 Liu, Kefeng 11 1995 Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053 Chen, Lin; Li, Yi; Liu, Kefeng 11 2008 Remarks on the Cartan formula and its applications. Zbl 1243.53115 Liu, Kefeng; Rao, Sheng 11 2012 Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces. Zbl 1215.14027 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 10 2010 On the asymptotic expansion of Bergman kernel. Zbl 1057.58018 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 10 2004 Heat kernel and moduli space. Zbl 0871.58014 Liu, Kefeng 10 1996 Elliptic genus and vertex operator algebras. Zbl 1144.58014 Dong, Chongying; Liu, Kefeng; Ma, Xiaonan 9 2005 Rigidity and vanishing theorems in \(K\)-theory. Zbl 1087.58014 Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping 9 2003 New structures of knot invariants. Zbl 1247.81391 Liu, Kefeng; Peng, Pan 9 2011 Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031 Liu, Kefeng; Yang, Xiaokui 9 2014 The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076 Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao 9 2018 Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 9 2016 Good geometry on the curve moduli. Zbl 1219.14012 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 9 2008 A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 9 2012 On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 8 2004 Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040 Liu, Kefeng; Rao, Sheng; Wan, Xueyuan 8 2019 New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043 Liu, Kefeng; Xu, Hao 7 2007 On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155 Liu, Kefeng; Peng, Pan 7 2010 Curvatures of moduli space of curves and applications. Zbl 1388.53077 Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung 7 2017 Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025 Han, Fei; Liu, Kefeng; Zhang, Weiping 7 2012 A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014 Liu, Kefeng; Ma, Xiaonan 7 2007 Heat kernel and moduli spaces. II. Zbl 0886.58013 Liu, Kefeng 7 1997 Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080 Liu, Kefeng; Yang, Xiaokui 7 2014 Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012 Kong, DeXing; Liu, KeFeng 7 2010 Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062 Liu, Ke Feng; Yang, Xiao Kui 7 2018 New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252 Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng 7 2011 Some remarks on circle action on manifolds. Zbl 1238.53016 Li, Ping; Liu, Kefeng 6 2011 Adiabatic limits and foliations. Zbl 0987.53022 Liu, Kefeng; Zhang, Weiping 6 2001 Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 6 2006 A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062 Liu, Kefeng; Xu, Hao 6 2014 Formal pseudodifferential operators and Witten’s \(r\)-spin numbers. Zbl 1454.14076 Liu, Kefeng; Vakil, Ravi; Xu, Hao 6 2017 Levi-Civita Ricci-flat metrics on compact complex manifolds. Zbl 1444.53045 He, Jie; Liu, Kefeng; Yang, Xiaokui 6 2020 Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 6 2019 Heat kernels, symplectic geometry, moduli spaces and finite groups. Zbl 1001.53060 Liu, Kefeng 5 1999 \(\text{Spin}^C\) manifolds and rigidity theorems in \(K\)-theory. Zbl 0995.58015 Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping 5 2000 Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145 He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng 5 2008 On orbifold elliptic genus. Zbl 1042.58010 Dong, Chongying; Liu, Kefeng; Ma, Xiaonan 5 2002 Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. (Mirzakharni’s recursion formula is equivalent to the Witten-Kontsevich theorem.) Zbl 1194.14040 Liu, Kefeng; Xu, Hao 5 2009 Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011 Kong, DeXing; Liu, KeFeng; Shen, Ming 5 2010 The \(n\)-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034 Liu, Kefeng; Xu, Hao 5 2011 New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056 Liu, Kefeng; Xu, Hao 4 2007 Modular forms and topology. Zbl 0974.58020 Liu, Kefeng 4 1996 A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 4 2017 The \(S^1\) fixed points in quot-schemes and mirror principle computations. Zbl 1067.14056 Lian, Bong H.; Liu, Chien-Hao; Liu, Kefeng; Yau, Shing-Tung 4 2003 Circle action and some vanishing results on manifolds. Zbl 1251.57019 Li, Ping; Liu, Kefeng 3 2011 Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011 Kong, Dexing; Liu, Kefeng; Shen, Ming 3 2011 Compact Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1390.32013 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 3 2017 Mirror principle. I. Zbl 0999.14010 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 3 1999 Mirror principle. IV. Zbl 1124.14303 Lian, Bong H.; Liu, Kefeng; Yau, Shing-tung 3 2000 Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024 Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang 3 2005 On family rigidity theorems for \(\text{Spin}^c\) manifolds. Zbl 1107.58010 Liu, Kefeng; Ma, Xiaonan 3 2002 On mod 2 and higher elliptic genera. Zbl 0763.58026 Liu, Kefeng 3 1992 Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043 Liu, Kefeng; Yang, Xiaokui 3 2015 Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047 Liu, Kefeng; Wang, Yong 3 2009 Combined torsional buckling of multi-walled carbon nanotubes coupling with axial loading and radial pressures. Zbl 1169.74021 Sun, C.; Liu, K. 3 2008 A geometric heat flow for vector fields. Zbl 1320.53081 Li, Yi; Liu, KeFeng 3 2015 Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034 Liu, Kefeng; Xu, Hao 3 2011 A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040 Liu, KeFeng; Wang, Yong 3 2013 Remarks on the geometry of moduli spaces. Zbl 0873.14031 Liu, Kefeng 2 1996 Remarks on nonabelian localization. Zbl 0858.57039 Liu, Kefeng 2 1995 Intersection numbers and automorphisms of stable curves. Zbl 1223.14029 Liu, Kefeng; Xu, Hao 2 2009 The Candelas-de la Ossa-Green-Parkes formula. Zbl 0988.81104 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 2 1998 On elliptic genera and foliations. Zbl 0986.57023 Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping 2 2001 Mirror principle. III. Zbl 1047.14502 Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 2 2000 \(K\)-theory associated to vertex operator algebras. Zbl 1094.19004 Dong, Chongying; Liu, Kefeng; Ma, Xiaonan; Zhou, Jian 2 2004 Elliptic genus and \(\eta\)-invariant. Zbl 0846.57017 Liu, Kefeng; Zhang, Weiping 2 1994 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046 Yau, Shing-Tung 2 2014 Anomaly cancellation and modularity. Zbl 1299.81039 Han, Fei; Liu, Kefeng; Zhang, Weiping 2 2014 Fermat and Malmquist type matrix differential equations. Zbl 07722728 Li, Y. X.; Liu, K.; Si, H. B. 2 2023 Congruence skein relations for colored HOMFLY-PT invariants. Zbl 1520.57012 Chen, Qingtao; Liu, Kefeng; Peng, Pan; Zhu, Shengmao 2 2023 Levi-Civita Ricci-flat metrics on compact complex manifolds. Zbl 1444.53045 He, Jie; Liu, Kefeng; Yang, Xiaokui 6 2020 Deformations of complex orbifolds and the period maps. Zbl 1436.32049 Liu, Kefeng; Zhuang, Xiaobo 2 2020 Complex Finsler vector bundles with positive Kobayashi curvature. Zbl 1460.32036 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 2 2020 Global methods of solving equations on manifolds. Zbl 1470.32084 Liu, Kefeng; Zhu, Shengmao 1 2020 Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040 Liu, Kefeng; Rao, Sheng; Wan, Xueyuan 8 2019 Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 6 2019 Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds. Zbl 1409.14071 Liu, Kefeng; Xia, Wei 2 2019 Logarithmic vanishing theorems for effective \(q\)-ample divisors. Zbl 1430.32006 Liu, Kefeng; Wan, Xueyuan; Yang, Xiaokui 1 2019 The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076 Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao 9 2018 Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062 Liu, Ke Feng; Yang, Xiao Kui 7 2018 The deformation of pairs \((X, E)\) lifting from base family. Zbl 1402.32019 Liu, Kefeng; Tu, Jie 2 2018 Ricci curvatures on Hermitian manifolds. Zbl 1365.53065 Liu, Kefeng; Yang, Xiaokui 37 2017 Curvatures of moduli space of curves and applications. Zbl 1388.53077 Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung 7 2017 Formal pseudodifferential operators and Witten’s \(r\)-spin numbers. Zbl 1454.14076 Liu, Kefeng; Vakil, Ravi; Xu, Hao 6 2017 A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 4 2017 Compact Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1390.32013 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 3 2017 Hodge metric completion of the moduli space of Calabi-Yau manifolds. Zbl 1387.32031 Liu, Kefeng; Shen, Yang 2 2017 Anomaly cancellation and modularity. II: The \(E_{8} \times E_{8}\) case. Zbl 1371.81218 Han, Fei; Liu, KeFeng; Zhang, WeiPing 2 2017 Some recent progress on mean curvature flow of arbitrary codimension. Zbl 1379.53088 Liu, Kefeng; Xu, Hongwei; Zhao, Entao 1 2017 Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099 Feng, Huitao; Liu, Kefeng; Wan, Xueyuan 9 2016 Modular invariance and anomaly cancellation formulas in odd dimension. Zbl 1330.58007 Liu, Kefeng; Wang, Yong 1 2016 Applications of the affine structures on the Teichmüller spaces. Zbl 1408.32015 Liu, Kefeng; Shen, Yang; Chen, Xiaojing 1 2016 Recursions and asymptotics of intersection numbers. Zbl 1349.14175 Liu, Kefeng; Mulase, Motohico; Xu, Hao 1 2016 Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017 Liu, Kefeng; Rao, Sheng; Yang, Xiaokui 20 2015 Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043 Liu, Kefeng; Yang, Xiaokui 3 2015 A geometric heat flow for vector fields. Zbl 1320.53081 Li, Yi; Liu, KeFeng 3 2015 New structure for orthogonal quantum group invariants. Zbl 1328.57013 Chen, Qingtao; Liu, Kefeng 2 2015 Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031 Liu, Kefeng; Yang, Xiaokui 9 2014 Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080 Liu, Kefeng; Yang, Xiaokui 7 2014 A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062 Liu, Kefeng; Xu, Hao 6 2014 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046 Yau, Shing-Tung 2 2014 Anomaly cancellation and modularity. Zbl 1299.81039 Han, Fei; Liu, Kefeng; Zhang, Weiping 2 2014 Selected expository works of Shing-Tung Yau with commentary. Volume I. Zbl 1401.01045 Yau, Shing-Tung 1 2014 Gravitational anomaly cancellation and modular invariance. Zbl 1291.53061 Han, Fei; Liu, Kefeng 1 2014 Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057 Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui 21 2013 Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061 Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao 14 2013 A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040 Liu, KeFeng; Wang, Yong 3 2013 On an algebraic formula and applications to group action on manifolds. Zbl 1282.19007 Li, Ping; Liu, Kefeng 2 2013 Geometry of Hermitian manifolds. Zbl 1248.53055 Liu, Ke-Feng; Yang, Xiao-Kui 35 2012 Remarks on the Cartan formula and its applications. Zbl 1243.53115 Liu, Kefeng; Rao, Sheng 11 2012 A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 9 2012 Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025 Han, Fei; Liu, Kefeng; Zhang, Weiping 7 2012 Computing top intersections in the tautological ring of \({\mathcal{M}_g}\). Zbl 1276.14041 Liu, Kefeng; Xu, Hao 1 2012 Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205 Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu 11 2011 New structures of knot invariants. Zbl 1247.81391 Liu, Kefeng; Peng, Pan 9 2011 New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252 Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng 7 2011 Some remarks on circle action on manifolds. Zbl 1238.53016 Li, Ping; Liu, Kefeng 6 2011 The \(n\)-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034 Liu, Kefeng; Xu, Hao 5 2011 Circle action and some vanishing results on manifolds. Zbl 1251.57019 Li, Ping; Liu, Kefeng 3 2011 Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011 Kong, Dexing; Liu, Kefeng; Shen, Ming 3 2011 Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034 Liu, Kefeng; Xu, Hao 3 2011 Finiteness of subfamilies of Calabi-Yau \(n\)-folds over curves with maximal length of Yukawa-coupling. Zbl 1316.14077 Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang 2 2011 Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129 Liu, Kefeng; Peng, Pan 29 2010 Calabi flow and projective embeddings. Zbl 1202.32018 Fine, Joel; Liu, Kefeng; Ma, Xiaonan 24 2010 Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084 Kong, Dexing; Liu, Kefeng; Wang, Yuzhu 20 2010 Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020 Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng 16 2010 Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces. Zbl 1215.14027 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 10 2010 On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155 Liu, Kefeng; Peng, Pan 7 2010 Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012 Kong, DeXing; Liu, KeFeng 7 2010 Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011 Kong, DeXing; Liu, KeFeng; Shen, Ming 5 2010 Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18–21, 2007. Zbl 1185.11005 1 2010 A mathematical theory of the topological vertex. Zbl 1184.14084 Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 44 2009 Hyperbolic mean curvature flow. Zbl 1159.53024 He, Chun-Lei; Kong, De-Xing; Liu, Kefeng 22 2009 Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059 Liu, Kefeng; Xu, Hao 18 2009 The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243 Kong, De-Xing; Liu, Kefeng; Xu, De-Liang 16 2009 A proof of the Faber intersection number conjecture. Zbl 1206.14079 Liu, Kefeng; Xu, Hao 15 2009 Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018 Kong, Dexing; Liu, Kefeng; Wang, Zenggui 13 2009 Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. (Mirzakharni’s recursion formula is equivalent to the Witten-Kontsevich theorem.) Zbl 1194.14040 Liu, Kefeng; Xu, Hao 5 2009 Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047 Liu, Kefeng; Wang, Yong 3 2009 Intersection numbers and automorphisms of stable curves. Zbl 1223.14029 Liu, Kefeng; Xu, Hao 2 2009 Virasoro constraints and Hurwitz numbers through asymptotic analysis. Zbl 1222.14120 Kim, Yon-Seo; Liu, Kefeng 1 2009 Adiabatic limits, vanishing theorems and the noncommutative residue. Zbl 1193.53120 Liu, KeFeng; Wang, Yong 1 2009 Dissipative hyperbolic geometric flow. Zbl 1165.58013 Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng 12 2008 Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053 Chen, Lin; Li, Yi; Liu, Kefeng 11 2008 Good geometry on the curve moduli. Zbl 1219.14012 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 9 2008 Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145 He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng 5 2008 Combined torsional buckling of multi-walled carbon nanotubes coupling with axial loading and radial pressures. Zbl 1169.74021 Sun, C.; Liu, K. 3 2008 Harmonic maps between compact Hermitian manifolds. Zbl 1183.58012 Liu, KeFeng; Yang, XiaoKui 1 2008 New results on the geometry of the moduli space of Riemann surfaces. Zbl 1152.14013 Liu, KeFeng; Sun, XiaoFeng; Yau, Shing-Tung 1 2008 A formula of two-partition Hodge integrals. Zbl 1111.14053 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 27 2007 Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515 Kong, De-Xing; Liu, Kefeng 25 2007 New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043 Liu, Kefeng; Xu, Hao 7 2007 A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014 Liu, Kefeng; Ma, Xiaonan 7 2007 New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056 Liu, Kefeng; Xu, Hao 4 2007 On the asymptotic expansion of Bergman kernel. Zbl 1099.32003 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 79 2006 Topological string partition functions as equivariant indices. Zbl 1129.14024 Li, Jun; Liu, Kefeng; Zhou, Jian 16 2006 Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 6 2006 Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 43 2005 Elliptic genus and vertex operator algebras. Zbl 1144.58014 Dong, Chongying; Liu, Kefeng; Ma, Xiaonan 9 2005 Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024 Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang 3 2005 Geometric aspects of the moduli space of Riemann surfaces. Zbl 1128.32008 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 1 2005 Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038 Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 68 2004 On the asymptotic expansion of Bergman kernel. Zbl 1057.58018 Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan 10 2004 On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 8 2004 \(K\)-theory associated to vertex operator algebras. Zbl 1094.19004 Dong, Chongying; Liu, Kefeng; Ma, Xiaonan; Zhou, Jian 2 2004 A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084 Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian 45 2003 Rigidity and vanishing theorems in \(K\)-theory. Zbl 1087.58014 Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping 9 2003 The \(S^1\) fixed points in quot-schemes and mirror principle computations. Zbl 1067.14056 Lian, Bong H.; Liu, Chien-Hao; Liu, Kefeng; Yau, Shing-Tung 4 2003 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 858 Authors 41 Liu, Kefeng 23 Ma, Xiaonan 17 Marinescu, George 17 Zhou, Jian 15 Yang, Xiao-Kui 14 Liu, Chiu-Chu Melissa 13 Han, Fei 13 Kong, Dexing 13 Yau, Shing-Tung 12 Wang, Zenggui 12 Zhang, Weiping 12 Zhu, Shengmao 11 Wan, Xueyuan 11 Wang, Yong 10 Xu, Hao 10 Yang, Di 9 Morozov, Alexei Yurievich 9 Wei, Changhua 8 Ioos, Louis 8 Kordyukov, Yuri A. 8 Pandharipande, Rahul 8 Zheng, Fangyang 8 Zuo, Kang 7 Deng, FuSheng 7 Fang, Bohan 7 Jinzenji, Masao 7 Rao, Sheng 7 Ross, Dustin 7 Tseng, Hsian-Hua 7 Zhao, Quanting 7 Zinger, Aleksey 6 Azami, Shahroud 6 Chang, Huai-Liang 6 Chen, Qingtao 6 Fornæss, John Erik 6 Li, Jun 6 Liu, Bo 6 Liu, Siqi 6 Mironov, Andrei D. 6 Tan, Sheng-Li 6 Zhang, Youjin 6 Zimmer, Andrew M. 6 Zong, Zhengyu 5 Bruzzo, Ugo 5 Dessai, Anand Naique 5 Diaconescu, Duiliu-Emanuel 5 Dubrovin, Boris Anatol’evich 5 Feng, Zhiming 5 Hsiao, Chin-Yu 5 Iritani, Hiroshi 5 Li, Ping 5 Mulase, Motohico 5 Ruan, Yongbin 5 Shadrin, Sergey V. 5 Sleptsov, Alexey 5 Wang, Zhiwei 5 Wu, Yunhui 5 Xu, Hongwei 5 You, Fenglong 5 Zhang, Liyou 4 Brini, Andrea 4 Bryan, Jim 4 Coates, Tom 4 Ghigi, Alessandro 4 Guo, Shuai 4 Hikami, Shinobu 4 Huang, Chunle 4 Huang, Ruizhi 4 Kawamura, Masaya 4 Lau, Siu-Cheong 4 Li, Si 4 Li, Wei-Ping 4 Lu, Wen 4 Lu, Xin 4 Morozov, Andreĭ Alekseevich 4 Shen, Ming 4 Vakil, Ravi 4 Wang, Yuzhu 4 Wold, Erlend Fornæss 4 Wolpert, Scott A. 4 Woodward, Christopher T. 4 Zhuang, Xiaobo 3 Angella, Daniele 3 Auvray, Hugues 3 Bousseau, Pierrick 3 Brézin, Edouard 3 Chan, Kwokwai 3 Coman, Dan 3 Daskalopoulos, Georgios D. 3 Dong, Chongying 3 Eynard, Bertrand 3 Feng, Huitao 3 Gao, Ben 3 Ji, Zhengchao 3 Jockers, Hans 3 Keller, Julien 3 Lee, Yuan-Pin 3 Lejmi, Mehdi 3 Li, Yi 3 Liu, Xiaobo ...and 758 more Authors all top 5 Cited in 192 Serials 37 Science China. Mathematics 36 Advances in Mathematics 35 The Journal of Geometric Analysis 33 Journal of Geometry and Physics 33 Transactions of the American Mathematical Society 29 Communications in Mathematical Physics 27 Mathematische Zeitschrift 25 Journal of High Energy Physics 24 International Journal of Mathematics 23 Mathematische Annalen 19 Geometry & Topology 18 Acta Mathematica Sinica. English Series 15 Letters in Mathematical Physics 13 Journal of Mathematical Analysis and Applications 13 Proceedings of the American Mathematical Society 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Duke Mathematical Journal 11 Inventiones Mathematicae 11 Journal für die Reine und Angewandte Mathematik 9 Annals of Global Analysis and Geometry 9 Science in China. Series A 9 Journal of Algebraic Geometry 8 Annales de l’Institut Fourier 8 Journal of Differential Equations 8 Journal of Functional Analysis 8 Chinese Annals of Mathematics. Series B 8 Differential Geometry and its Applications 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Pacific Journal of Mathematics 7 Journal of the American Mathematical Society 7 Calculus of Variations and Partial Differential Equations 6 Nuclear Physics. B 6 Bulletin of the London Mathematical Society 6 Geometriae Dedicata 6 Journal of Differential Geometry 5 International Journal of Modern Physics A 5 Journal of Mathematical Physics 5 Journal of Algebra 5 Michigan Mathematical Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Frontiers of Mathematics in China 5 Complex Manifolds 4 Nagoya Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Topology and its Applications 4 Selecta Mathematica. New Series 4 Transformation Groups 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 3 Mathematical Methods in the Applied Sciences 3 Reviews in Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Compositio Mathematica 3 Osaka Journal of Mathematics 3 Results in Mathematics 3 Journal of Knot Theory and its Ramifications 3 Communications in Contemporary Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Hyperbolic Differential Equations 3 Boundary Value Problems 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Japanese Journal of Mathematics. 3rd Series 3 Analysis and Mathematical Physics 3 Communications in Mathematics and Statistics 2 Modern Physics Letters A 2 Journal of Statistical Physics 2 Mathematical Notes 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Annals of Combinatorics 2 Discrete Dynamics in Nature and Society 2 Communications of the Korean Mathematical Society 2 Journal of Nonlinear Mathematical Physics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 2 Complex Analysis and Operator Theory 2 Journal of Noncommutative Geometry 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Topology 2 Analysis & PDE ...and 92 more Serials all top 5 Cited in 50 Fields 370 Differential geometry (53-XX) 309 Algebraic geometry (14-XX) 273 Several complex variables and analytic spaces (32-XX) 144 Global analysis, analysis on manifolds (58-XX) 107 Quantum theory (81-XX) 96 Manifolds and cell complexes (57-XX) 82 Partial differential equations (35-XX) 29 Dynamical systems and ergodic theory (37-XX) 29 Relativity and gravitational theory (83-XX) 26 Nonassociative rings and algebras (17-XX) 26 Functions of a complex variable (30-XX) 25 Number theory (11-XX) 22 Algebraic topology (55-XX) 19 Combinatorics (05-XX) 16 \(K\)-theory (19-XX) 13 Operator theory (47-XX) 13 Fluid mechanics (76-XX) 11 Topological groups, Lie groups (22-XX) 11 Probability theory and stochastic processes (60-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 8 Special functions (33-XX) 7 Commutative algebra (13-XX) 7 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Functional analysis (46-XX) 4 Associative rings and algebras (16-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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