Liu, Kefeng

Compute Distance To:
 Author ID: liu.kefeng Published as: Liu, Kefeng; Liu, KeFeng; Liu, Ke Feng; Liu, Ke-feng; Liu, Ke-Feng; Lin, Kefeng more...less Homepage: http://www.math.ucla.edu/~liu/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef
 Documents Indexed: 171 Publications since 1992 16 Contributions as Editor Biographic References: 2 Publications Co-Authors: 78 Co-Authors with 156 Joint Publications 1,955 Co-Co-Authors
all top 5

Co-Authors

 24 single-authored 43 Yau, Shing-Tung 15 Kong, Dexing 15 Lian, Bong H. 14 Ma, Xiaonan 13 Xu, Hao 12 Ji, Lizhen 12 Yang, Xiao-Kui 10 Sun, Xiaofeng 10 Zhang, Weiping 8 Zhou, Jian 7 Wan, Xueyuan 6 Yang, Lo 5 Feng, Huitao 5 Han, Fei 5 Liu, Chiu-Chu Melissa 5 Wang, Yong 4 Cheng, Shiu-Yuen 4 Kang, Ming-Chang 4 Peng, Pan 4 Shen, Yang 4 Shu, Chi-Wang 4 Xu, Hongwei 4 Zhao, En-Tao 3 Dai, Xianzhe 3 Dong, Chongying 3 Li, Ping 3 Liu, Chien-Hao 3 Rao, Sheng 2 Chen, Xiaojing 2 Dai, Wenrong 2 Dai, Xingyu 2 He, Chunlei 2 Hong, Mei 2 Kim, Yon-Seo 2 Li, Fang 2 Li, Jun 2 Li, Peter 2 Schoen, Richard Melvin 2 Shen, Ming 2 Todorov, Andrey N. 2 Wang, Yuzhu 2 Ye, Fei 2 Zhang, Ren 2 Zhu, Shengmao 2 Zuo, Kang 1 Bogomolov, Fedor Alekseivich 1 Cai, Ronggen 1 Cao, Junliang 1 Chai, Chingli 1 Chen, Qingtao 1 Cheng, Qing-Meng 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 Kazhdan, David A. 1 Kontsevich, Maxim Lvovich 1 Krichever, Igor’ Moiseevich 1 Li, Miao 1 Lian, Lian 1 Liu, Chunxiao 1 Luo, Feng 1 Manin, Yuri 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 1 Wang, Qiuzhi 1 Wang, Xu-Jia 1 Wang, Zenggui 1 Wei, Wun-cheng 1 Witten, Edward 1 Wu, Yunhui 1 Xia, Wei 1 Xing, Zhizhong 1 Xu, Deliang ...and 10 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) 4 International Journal of Mathematics 4 Communications in Analysis and Geometry 4 ICCM Notices 3 Analysis Mathematica 3 Transactions of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Journal of Algebraic Geometry 2 Communications in Mathematical Physics 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 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 Mathematical Analysis 1 Communications in Number Theory and Physics 1 Chinese Journal of Engineering Mathematics
all top 5

Fields

 71 Algebraic geometry (14-XX) 63 Differential geometry (53-XX) 53 Global analysis, analysis on manifolds (58-XX) 45 Several complex variables and analytic spaces (32-XX) 34 Manifolds and cell complexes (57-XX) 21 Quantum theory (81-XX) 16 General and overarching topics; collections (00-XX) 14 Partial differential equations (35-XX) 13 Functions of a complex variable (30-XX) 11 Number theory (11-XX) 10 History and biography (01-XX) 9 $$K$$-theory (19-XX) 8 Group theory and generalizations (20-XX) 7 Relativity and gravitational theory (83-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Algebraic topology (55-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-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 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 Ordinary differential equations (34-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 Systems theory; control (93-XX)

Citations contained in zbMATH Open

125 Publications have been cited 1,058 times in 691 Documents Cited by Year
Mirror principle. I. Zbl 0953.14026
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1997
On the asymptotic expansion of Bergman kernel. Zbl 1099.32003
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2006
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
A mathematical theory of the topological vertex. Zbl 1184.14084
Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2009
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2003
Ricci curvatures on Hermitian manifolds. Zbl 1365.53065
Liu, Kefeng; Yang, Xiaokui
2017
On modular invariance and rigidity theorems. Zbl 0836.57024
Liu, Kefeng
1995
Modular invariance and characteristic numbers. Zbl 0867.57021
Liu, Kefeng
1995
Geometry of Hermitian manifolds. Zbl 1248.53055
Liu, Ke-Feng; Yang, Xiao-Kui
2012
A formula of two-partition Hodge integrals. Zbl 1111.14053
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2007
Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129
Liu, Kefeng; Peng, Pan
2010
Calabi flow and projective embeddings. Zbl 1202.32018
Fine, Joel; Liu, Kefeng; Ma, Xiaonan
2010
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
2007
Geometric height inequalities. Zbl 0867.11044
Liu, Kefeng
1996
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084
Kong, Dexing; Liu, Kefeng; Wang, Yuzhu
2010
On elliptic genera and theta-functions. Zbl 0858.57034
Liu, Kefeng
1996
Mirror principle. III. Zbl 1009.14006
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017
Liu, Kefeng; Rao, Sheng; Yang, Xiaokui
2015
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
2009
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
On family rigidity theorems. I. Zbl 0988.58010
Liu, Kefeng; Ma, Xiaonan
2000
Topological string partition functions as equivariant indices. Zbl 1129.14024
Li, Jun; Liu, Kefeng; Zhou, Jian
2006
Holomorphic equivariant cohomology. Zbl 0835.14006
Liu, Kefeng
1995
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2010
Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui
2013
Mirror principle. II. Zbl 0974.14025
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Remarks on the Cartan formula and its applications. Zbl 1243.53115
Liu, Kefeng; Rao, Sheng
2012
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2008
Heat kernel and moduli space. Zbl 0871.58014
Liu, Kefeng
1996
Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053
Chen, Lin; Li, Yi; Liu, Kefeng
2008
Rigidity and vanishing theorems in $$K$$-theory. Zbl 1087.58014
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2003
Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces. Zbl 1215.14027
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2010
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
2011
A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2012
On the asymptotic expansion of Bergman kernel. Zbl 1057.58018
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2004
Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2013
Elliptic genus and vertex operator algebras. Zbl 1144.58014
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2005
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
2009
Heat kernel and moduli spaces. II. Zbl 0886.58013
Liu, Kefeng
1997
On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2004
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
2010
Good geometry on the curve moduli. Zbl 1219.14012
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2008
A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014
Liu, Kefeng; Ma, Xiaonan
2007
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
2011
Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025
Han, Fei; Liu, Kefeng; Zhang, Weiping
2012
Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2016
Some remarks on circle action on manifolds. Zbl 1238.53016
Li, Ping; Liu, Kefeng
2011
Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031
Liu, Kefeng; Yang, Xiaokui
2014
On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155
Liu, Kefeng; Peng, Pan
2010
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2006
On orbifold elliptic genus. Zbl 1042.58010
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2002
Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080
Liu, Kefeng; Yang, Xiaokui
2014
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
2010
The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2018
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
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
2003
Modular forms and topology. Zbl 0974.58020
Liu, Kefeng
1996
Adiabatic limits and foliations. Zbl 0987.53022
Liu, Kefeng; Zhang, Weiping
2001
Heat kernels, symplectic geometry, moduli spaces and finite groups. Zbl 1001.53060
Liu, Kefeng
1999
$$\text{Spin}^C$$ manifolds and rigidity theorems in $$K$$-theory. Zbl 0995.58015
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2000
New structures of knot invariants. Zbl 1247.81391
Liu, Kefeng; Peng, Pan
2011
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2019
Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062
Liu, Ke Feng; Yang, Xiao Kui
2018
On mod 2 and higher elliptic genera. Zbl 0763.58026
Liu, Kefeng
1992
On family rigidity theorems for $$\text{Spin}^c$$ manifolds. Zbl 1107.58010
Liu, Kefeng; Ma, Xiaonan
2002
Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047
Liu, Kefeng; Wang, Yong
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
2009
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
2008
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
2011
Sun, C.; Liu, K.
2008
Circle action and some vanishing results on manifolds. Zbl 1251.57019
Li, Ping; Liu, Kefeng
2011
A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040
Liu, KeFeng; Wang, Yong
2013
A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2005
Remarks on nonabelian localization. Zbl 0858.57039
Liu, Kefeng
1995
Elliptic genus and $$\eta$$-invariant. Zbl 0846.57017
Liu, Kefeng; Zhang, Weiping
1994
Remarks on the geometry of moduli spaces. Zbl 0873.14031
Liu, Kefeng
1996
The Candelas-de la Ossa-Green-Parkes formula. Zbl 0988.81104
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1998
A geometric heat flow for vector fields. Zbl 1320.53081
Li, Yi; Liu, KeFeng
2015
Mirror principle. I. Zbl 0999.14010
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
On elliptic genera and foliations. Zbl 0986.57023
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2001
Mirror principle. III. Zbl 1047.14502
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
2000
Mirror principle. IV. Zbl 1124.14303
Lian, Bong H.; Liu, Kefeng; Yau, Shing-tung
2000
Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043
Liu, Kefeng; Yang, Xiaokui
2015
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
2011
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
On an algebraic formula and applications to group action on manifolds. Zbl 1282.19007
Li, Ping; Liu, Kefeng
2013
Hodge metric completion of the moduli space of Calabi-Yau manifolds. Zbl 1387.32031
Liu, Kefeng; Shen, Yang
2017
The periodicity on a transcendental entire function with its differential polynomials. Zbl 07393075
Wei, Y. M.; Liu, K.; Liu, X. L.
2021
Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds. Zbl 1409.14071
Liu, Kefeng; Xia, Wei
2019
Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040
Liu, Kefeng; Rao, Sheng; Wan, Xueyuan
2019
The periodicity on a transcendental entire function with its differential polynomials. Zbl 07393075
Wei, Y. M.; Liu, K.; Liu, X. L.
2021
Deformations of complex orbifolds and the period maps. Zbl 1436.32049
Liu, Kefeng; Zhuang, Xiaobo
2020
Levi-Civita Ricci-flat metrics on compact complex manifolds. Zbl 1444.53045
He, Jie; Liu, Kefeng; Yang, Xiaokui
2020
Complex Finsler vector bundles with positive Kobayashi curvature. Zbl 1460.32036
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2020
Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2019
Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds. Zbl 1409.14071
Liu, Kefeng; Xia, Wei
2019
Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040
Liu, Kefeng; Rao, Sheng; Wan, Xueyuan
2019
The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2018
Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062
Liu, Ke Feng; Yang, Xiao Kui
2018
The deformation of pairs $$(X, E)$$ lifting from base family. Zbl 1402.32019
Liu, Kefeng; Tu, Jie
2018
Ricci curvatures on Hermitian manifolds. Zbl 1365.53065
Liu, Kefeng; Yang, Xiaokui
2017
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
2017
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Hodge metric completion of the moduli space of Calabi-Yau manifolds. Zbl 1387.32031
Liu, Kefeng; Shen, Yang
2017
Compact Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1390.32013
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Anomaly cancellation and modularity. II: The $$E_{8} \times E_{8}$$ case. Zbl 1371.81218
Han, Fei; Liu, KeFeng; Zhang, WeiPing
2017
Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2016
Modular invariance and anomaly cancellation formulas in odd dimension. Zbl 1330.58007
Liu, Kefeng; Wang, Yong
2016
Applications of the affine structures on the Teichmüller spaces. Zbl 1408.32015
Liu, Kefeng; Shen, Yang; Chen, Xiaojing
2016
Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017
Liu, Kefeng; Rao, Sheng; Yang, Xiaokui
2015
A geometric heat flow for vector fields. Zbl 1320.53081
Li, Yi; Liu, KeFeng
2015
Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043
Liu, Kefeng; Yang, Xiaokui
2015
New structure for orthogonal quantum group invariants. Zbl 1328.57013
Chen, Qingtao; Liu, Kefeng
2015
Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031
Liu, Kefeng; Yang, Xiaokui
2014
Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080
Liu, Kefeng; Yang, Xiaokui
2014
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
Anomaly cancellation and modularity. Zbl 1299.81039
Han, Fei; Liu, Kefeng; Zhang, Weiping
2014
Gravitational anomaly cancellation and modular invariance. Zbl 1291.53061
Han, Fei; Liu, Kefeng
2014
Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui
2013
Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2013
A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040
Liu, KeFeng; Wang, Yong
2013
On an algebraic formula and applications to group action on manifolds. Zbl 1282.19007
Li, Ping; Liu, Kefeng
2013
Geometry of Hermitian manifolds. Zbl 1248.53055
Liu, Ke-Feng; Yang, Xiao-Kui
2012
Remarks on the Cartan formula and its applications. Zbl 1243.53115
Liu, Kefeng; Rao, Sheng
2012
A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2012
Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025
Han, Fei; Liu, Kefeng; Zhang, Weiping
2012
Computing top intersections in the tautological ring of $${\mathcal{M}_g}$$. Zbl 1276.14041
Liu, Kefeng; Xu, Hao
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
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
2011
Some remarks on circle action on manifolds. Zbl 1238.53016
Li, Ping; Liu, Kefeng
2011
New structures of knot invariants. Zbl 1247.81391
Liu, Kefeng; Peng, Pan
2011
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
2011
Circle action and some vanishing results on manifolds. Zbl 1251.57019
Li, Ping; Liu, Kefeng
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
2011
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129
Liu, Kefeng; Peng, Pan
2010
Calabi flow and projective embeddings. Zbl 1202.32018
Fine, Joel; Liu, Kefeng; Ma, Xiaonan
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
2010
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
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
2010
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
2010
On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155
Liu, Kefeng; Peng, Pan
2010
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
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
2010
A mathematical theory of the topological vertex. Zbl 1184.14084
Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2009
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
2009
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
2009
Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047
Liu, Kefeng; Wang, Yong
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
2009
Virasoro constraints and Hurwitz numbers through asymptotic analysis. Zbl 1222.14120
Kim, Yon-Seo; Liu, Kefeng
2009
Adiabatic limits, vanishing theorems and the noncommutative residue. Zbl 1193.53120
Liu, KeFeng; Wang, Yong
2009
Intersection numbers and automorphisms of stable curves. Zbl 1223.14029
Liu, Kefeng; Xu, Hao
2009
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2008
Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053
Chen, Lin; Li, Yi; Liu, Kefeng
2008
Good geometry on the curve moduli. Zbl 1219.14012
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2008
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
2008
Sun, C.; Liu, K.
2008
New results on the geometry of the moduli space of Riemann surfaces. Zbl 1152.14013
Liu, KeFeng; Sun, XiaoFeng; Yau, Shing-Tung
2008
Harmonic maps between compact Hermitian manifolds. Zbl 1183.58012
Liu, KeFeng; Yang, XiaoKui
2008
A formula of two-partition Hodge integrals. Zbl 1111.14053
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2007
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
2007
A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014
Liu, Kefeng; Ma, Xiaonan
2007
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
On the asymptotic expansion of Bergman kernel. Zbl 1099.32003
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2006
Topological string partition functions as equivariant indices. Zbl 1129.14024
Li, Jun; Liu, Kefeng; Zhou, Jian
2006
Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2006
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Elliptic genus and vertex operator algebras. Zbl 1144.58014
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2005
Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2005
Geometric aspects of the moduli space of Riemann surfaces. Zbl 1128.32008
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
On the asymptotic expansion of Bergman kernel. Zbl 1057.58018
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2004
On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2004
$$K$$-theory associated to vertex operator algebras. Zbl 1094.19004
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan; Zhou, Jian
2004
A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2003
Rigidity and vanishing theorems in $$K$$-theory. Zbl 1087.58014
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
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
2003
On orbifold elliptic genus. Zbl 1042.58010
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2002
On family rigidity theorems for $$\text{Spin}^c$$ manifolds. Zbl 1107.58010
Liu, Kefeng; Ma, Xiaonan
2002
Hirzebruch $$\chi_y$$ genera of the Hilbert schemes of surfaces by localization formula. Zbl 1100.58502
Liu, Kefeng; Yan, Catherine; Zhou, Jian
2002
Adiabatic limits and foliations. Zbl 0987.53022
Liu, Kefeng; Zhang, Weiping
2001
On elliptic genera and foliations. Zbl 0986.57023
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2001
On family rigidity theorems. I. Zbl 0988.58010
Liu, Kefeng; Ma, Xiaonan
2000
...and 25 more Documents
all top 5

Cited by 686 Authors

 38 Liu, Kefeng 19 Ma, Xiaonan 15 Marinescu, George 15 Yang, Xiao-Kui 15 Zhou, Jian 13 Han, Fei 13 Kong, Dexing 11 Liu, Chiu-Chu Melissa 11 Wang, Yong 11 Yau, Shing-Tung 9 Wan, Xueyuan 9 Wei, Changhua 9 Xu, Hao 9 Zhang, Weiping 8 Morozov, Alexei Yurievich 8 Wang, Zenggui 8 Zhu, Shengmao 7 Ioos, Louis 7 Rao, Sheng 7 Ross, Dustin 7 Zinger, Aleksey 7 Zuo, Kang 6 Chang, Huai-Liang 6 Deng, FuSheng 6 Fang, Bohan 6 Fornæss, John Erik 6 Jinzenji, Masao 6 Li, Jun 6 Pandharipande, Rahul 6 Tan, Sheng-Li 6 Zheng, Fangyang 6 Zimmer, Andrew M. 6 Zong, Zhengyu 5 Chen, Qingtao 5 Dessai, Anand Naique 5 Diaconescu, Duiliu-Emanuel 5 Iritani, Hiroshi 5 Kordyukov, Yuri A. 5 Liu, Bo 5 Liu, Siqi 5 Mironov, Andrei D. 5 Mulase, Motohico 5 Ruan, Yongbin 5 Shadrin, Sergey V. 5 Yang, Di 5 Zhang, Liyou 5 Zhang, Youjin 5 Zhao, Quanting 4 Brini, Andrea 4 Bruzzo, Ugo 4 Bryan, Jim 4 Coates, Tom 4 Dubrovin, Boris Anatol’evich 4 Feng, Zhiming 4 Ghigi, Alessandro 4 Guo, Shuai 4 Hikami, Shinobu 4 Hsiao, Chin-Yu 4 Huang, Chunle 4 Huang, Ruizhi 4 Kawamura, Masaya 4 Li, Si 4 Shen, Ming 4 Sleptsov, Alexey 4 Tseng, Hsian-Hua 4 Vakil, Ravi 4 Wang, Yuzhu 4 Wang, Zhiwei 4 Wold, Erlend Fornæss 4 Wolpert, Scott A. 4 Woodward, Christopher T. 4 Wu, Yunhui 4 Zhuang, Xiaobo 3 Auvray, Hugues 3 Azami, Shahroud 3 Brézin, Edouard 3 Daskalopoulos, Georgios D. 3 Dong, Chongying 3 Eynard, Bertrand 3 Keller, Julien 3 Lee, Yuan-Pin 3 Li, Ping 3 Li, Wei-Ping 3 Liu, Xiaobo 3 Lu, Wen 3 Lu, Xin 3 Maulik, Davesh 3 Mese, Chikako 3 Okun’kov, Andreĭ Yur’evich 3 Ramadevi, Pichai 3 Rubtsov, Vladimir Nikolaevich 3 Sabatini, Silvia 3 Seyyedali, Reza 3 Shen, Yefeng 3 Singh, Vivek Kumar 3 Sun, Song 3 Sun, Xiaofeng 3 Szabo, Richard J. 3 Wang, Guodong 3 Wang, Jinhua ...and 586 more Authors
all top 5

Cited in 165 Serials

 33 Science China. Mathematics 30 Transactions of the American Mathematical Society 30 The Journal of Geometric Analysis 29 Journal of Geometry and Physics 28 Advances in Mathematics 24 Communications in Mathematical Physics 21 Mathematische Zeitschrift 19 International Journal of Mathematics 19 Journal of High Energy Physics 17 Geometry & Topology 16 Mathematische Annalen 15 Acta Mathematica Sinica. English Series 13 Letters in Mathematical Physics 13 Proceedings of the American Mathematical Society 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal of Mathematical Analysis and Applications 11 Duke Mathematical Journal 11 Inventiones Mathematicae 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 Differential Geometry and its Applications 7 Journal für die Reine und Angewandte Mathematik 7 Journal of the American Mathematical Society 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Geometriae Dedicata 6 Journal of Functional Analysis 5 International Journal of Modern Physics A 5 Chinese Annals of Mathematics. Series B 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Frontiers of Mathematics in China 4 Journal of Mathematical Physics 4 Nuclear Physics. B 4 Journal of Algebra 4 Michigan Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Topology and its Applications 4 Calculus of Variations and Partial Differential Equations 4 Transformation Groups 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Complex Manifolds 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Results in Mathematics 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 Japanese Journal of Mathematics. 3rd Series 3 Communications in Mathematics and Statistics 2 Modern Physics Letters A 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Communications in Partial Differential Equations 2 Journal of Knot Theory and its Ramifications 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Annals of Combinatorics 2 Discrete Dynamics in Nature and Society 2 Communications on Pure and Applied Analysis 2 Complex Analysis and Operator Theory 2 Journal of Noncommutative Geometry 2 São Paulo Journal of Mathematical Sciences 2 Forum of Mathematics, Pi 1 Modern Physics Letters B 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici ...and 65 more Serials
all top 5

Cited in 47 Fields

 293 Differential geometry (53-XX) 260 Algebraic geometry (14-XX) 208 Several complex variables and analytic spaces (32-XX) 121 Global analysis, analysis on manifolds (58-XX) 82 Quantum theory (81-XX) 81 Manifolds and cell complexes (57-XX) 68 Partial differential equations (35-XX) 24 Relativity and gravitational theory (83-XX) 23 Number theory (11-XX) 22 Functions of a complex variable (30-XX) 22 Algebraic topology (55-XX) 20 Nonassociative rings and algebras (17-XX) 20 Dynamical systems and ergodic theory (37-XX) 16 Combinatorics (05-XX) 16 $$K$$-theory (19-XX) 11 Fluid mechanics (76-XX) 10 Operator theory (47-XX) 7 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 7 Probability theory and stochastic processes (60-XX) 6 Special functions (33-XX) 6 Numerical analysis (65-XX) 5 Commutative algebra (13-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-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 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.