Edit Profile (opens in new tab) Fukaya, Kenji Compute Distance To: Compute Author ID: fukaya.kenji Published as: Fukaya, Kenji; Fukaya, K.; Fukuya, Kenji more...less Homepage: https://www.math.kyoto-u.ac.jp/~fukaya/fukaya.html External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 80 Publications since 1984, including 7 Books 4 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 21 Co-Authors with 38 Joint Publications 524 Co-Co-Authors all top 5 Co-Authors 47 single-authored 21 Ono, Kaoru 20 Oh, Yong-Geun 17 Ohta, Hiroshi 4 Yamaguchi, Takao 3 Seidel, Paul 2 Farajzadeh Tehrani, Mohammad 2 Smith, Ivan 1 Bruzzo, Ugo 1 Cheeger, Jeff 1 Cieliebak, Kai 1 Daemi, Aliakbar 1 Dusa 1 Eliashberg, Yakov Matveevich 1 Furuta, Mikio 1 Gómez, Cesar A. 1 Gorini, Vittorio 1 Grassi, Antonella 1 Gromov, Mikhael Leonidovich 1 Kohno, Toshitake 1 Kotschick, Dieter 1 Latschev, Janko 1 Lerda, Alberto 1 McDuff, Dusa 1 Morgan, John W. 1 Moschella, Ugo 1 Muñoz Velázquez, Vicente 1 Nishikawa, Seiki 1 Presas, Francisco 1 Resco, Pedro 1 Rossi, Michele 1 Spruck, Joel 1 Stanev, Yassen S. 1 Tian, Gang all top 5 Serials 6 Sūgaku 4 Journal of Differential Geometry 4 Sugaku Expositions 2 Inventiones Mathematicae 2 Topology 2 The Journal of Symplectic Geometry 2 AMS/IP Studies in Advanced Mathematics 1 Communications in Mathematical Physics 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of the Faculty of Science. Section I A 1 Journal of the Mathematical Society of Japan 1 Japanese Journal of Mathematics. New Series 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Geometry 1 Turkish Journal of Mathematics 1 Selecta Mathematica. New Series 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Pure and Applied Mathematics Quarterly 1 Advanced Studies in Pure Mathematics 1 Astérisque 1 Mathematical Surveys and Monographs 1 Journal of Fixed Point Theory and Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Quantum Topology 1 Kyoto Journal of Mathematics 1 Springer Monographs in Mathematics all top 5 Fields 74 Differential geometry (53-XX) 34 Manifolds and cell complexes (57-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Algebraic geometry (14-XX) 15 Quantum theory (81-XX) 11 Algebraic topology (55-XX) 6 General and overarching topics; collections (00-XX) 5 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 1,605 times in 863 Documents Cited by ▼ Year ▼ Lagrangian intersection Floer theory. Anomaly and obstruction. II. Zbl 1181.53003Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 228 2009 Arnold conjecture and Gromov-Witten invariant. Zbl 0946.53047Fukaya, Kenji; Ono, Kaoru 135 1999 Lagrangian intersection Floer theory. Anomaly and obstruction. I. Zbl 1181.53002Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 89 2009 Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Zbl 0589.58034Fukaya, Kenji 84 1987 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 78 1992 The fundamental groups of almost nonnegatively curved manifolds. Zbl 0770.53028Fukaya, Kenji; Yamaguchi, Takao 75 1992 Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 74 2010 Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 50 2011 A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters. Zbl 0652.53031Fukaya, Kenji 49 1988 Collapsing Riemannian manifolds to ones of lower dimensions. Zbl 0606.53027Fukaya, Kenji 44 1987 Morse homotopy, \(A^ \infty\)-category, and Floer homologies. Zbl 0853.57030Fukaya, Kenji 42 1993 Cyclic symmetry and adic convergence in Lagrangian Floer theory. Zbl 1205.53090Fukaya, Kenji 40 2010 Mirror symmetry of abelian varieties and multi-theta functions. Zbl 1002.14014Fukaya, Kenji 38 2002 Zero-loop open strings in the cotangent bundle and Morse homotopy. Zbl 0938.32009Fukaya, Kenji; Oh, Yong-Geun 38 1997 Hausdorff convergence of Riemannian manifolds and its applications. Zbl 0754.53004Fukaya, Kenji 35 1990 Exact Lagrangian submanifolds in simply-connected cotangent bundles. Zbl 1140.53036Fukaya, Kenji; Seidel, Paul; Smith, Ivan 34 2008 Multivalued Morse theory, asymptotic analysis and mirror symmetry. Zbl 1085.53080Fukaya, Kenji 33 2005 The symplectic geometry of cotangent bundles from a categorical viewpoint. Zbl 1163.53344Fukaya, K.; Seidel, P.; Smith, I. 28 2009 Theory of convergence for Riemannian orbifolds. Zbl 0654.53044Fukaya, Kenji 28 1986 Collapsing Riemannian manifolds to ones with lower dimension. II. Zbl 0703.53042Fukaya, Kenji 26 1989 Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 26 2016 Isometry groups of singular spaces. Zbl 0797.53033Fukaya, Kenji; Yamaguchi, Takao 24 1994 Floer homology of connected sum of homology 3-spheres. Zbl 0848.58010Fukaya, Kenji 22 1996 Application of Floer homology of Lagrangian submanifolds to symplectic topology. Zbl 1089.53064Fukaya, Kenji 22 2006 Floer homology and mirror symmetry. II. Zbl 1030.53087Fukaya, Kenji 20 2002 Toric degeneration and nondisplaceable Lagrangian tori in \(S^{2}\times S^{2}\). Zbl 1250.53077Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 17 2012 Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 13 2019 Floer homology for families – a progress report. Zbl 1038.53083Fukaya, Kenji 13 2002 Metric Riemannian geometry. Zbl 1163.53021Fukaya, Kenji 12 2006 Morse homotopy and its quantization. Zbl 0891.57035Fukaya, Kenji 12 1997 Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. Zbl 1244.57046Fukaya, Kenji 12 2011 Antisymplectic involution and Floer cohomology. Zbl 1359.53069Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 12 2017 Lagrangian Floer theory on compact toric manifolds: survey. Zbl 1382.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 10 2012 Anti-self-dual equation on 4-manifolds with degenerate metric. Zbl 0914.53015Fukaya, K. 9 1998 Floer homology for 3-manifolds with boundary. Zbl 0884.57012Fukaya, Kenji 8 1994 Floer homology for oriented 3-manifolds. Zbl 0852.57014Fukaya, Kenji 8 1992 Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks. I. Zbl 1409.32021Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 8 2018 Floer homology and mirror symmetry. I. Zbl 1015.53057Fukaya, Kenji 7 2001 Kuranishi structures and virtual fundamental chains. Zbl 1482.53002Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 7 2020 Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. Zbl 1448.57034Daemi, Aliakbar; Fukaya, Kenji 7 2018 Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds. Zbl 1004.53063Fukaya, Kenji; Ono, Kaoru 7 1999 Displacement of polydisks and Lagrangian Floer theory. Zbl 1292.53056Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 7 2013 Almost nonpositively curved manifolds. Zbl 0758.53024Fukaya, Kenji; Yamaguchi, Takao 6 1991 Canonical models of filtered \(A_\infty\)-algebras and Morse complexes. Zbl 1187.53085Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 6 2009 Shrinking good coordinate systems associated to Kuranishi structures. Zbl 1370.53061Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 6 2016 Floer homology of Lagrangian submanifolds. Zbl 1305.53085Fukaya, Kenji 5 2013 Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 5 2010 Floer homology and Gromov-Witten invariant over integer of general symplectic manifolds. (Summary). Zbl 1008.53069Fukuya, Kenji; Ono, Kaoru 4 2001 Floer homology for families. Zbl 1322.57025Fukaya, Kenji 4 2001 Categorification of invariants in gauge theory and symplectic geometry. Zbl 1394.57030Fukaya, Kenji 4 2018 Gromov-Witten theory via Kuranishi structures. Zbl 1444.53056Tehrani, Mohammad F.; Fukaya, Kenji 4 2019 Floer homology, \(A_ \infty\)-categories and topological field theory. Zbl 0867.58012Fukaya, Kenji; Seidel, Paul 4 1997 Lagrangian Floer theory over integers: spherically positive symplectic manifolds. Zbl 1293.53088Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 4 2013 Virtual fundamental cycles in symplectic topology. Zbl 1416.53077 3 2019 On a compactification of the set of Riemannian manifolds with bounded curvature and diameters. Zbl 0598.53042Fukaya, Kenji 3 1986 The symplectic \(S\)-cobordism conjecture: A summary. Zbl 0871.57032Fukaya, Kenji 3 1997 Galois symmetry on Floer cohomology. Zbl 1075.53090Fukaya, Kenji 2 2003 A finiteness theorem for negatively curved manifolds. Zbl 0542.53023Fukaya, Kenji 2 1984 Differentiable operads, the Kuranishi correspondence, and foundations of topological field theories based on pseudo-holomorphic curves. Zbl 1214.53066Fukaya, Kenji 2 2010 Homological algebra related to surfaces with boundary. Zbl 1468.18022Cieliebak, Kai; Fukaya, Kenji; Latschev, Janko 2 2020 Morse homotopy and Chern-Simons perturbation theory. Zbl 0893.58017Fukaya, Kenji 1 1996 Floer homology in symplectic geometry and in mirror symmetry. Zbl 1107.53060Oh, Yong-Geun; Fukaya, Kenji 1 2006 Topological field theory and Morse theory. Zbl 0897.57021Fukaya, Kenji 1 1994 Margulis’ lemma in Riemannian geometry. Zbl 0718.53038Fukaya, Kenji 1 1990 Collapsing Riemannian manifolds and its applications. Zbl 0749.53023Fukaya, Kenji 1 1991 The work of Kaoru Ono. Zbl 1202.01089Fukaya, Kenji 1 2006 A compactness theorem of a set of aspherical Riemannian orbifolds. Zbl 0646.53042Fukaya, Kenji 1 1988 Gauge theory and topology. (Geiji riron to toporoji.) Zbl 1369.81003Fukaya, Kenji 1 2012 Kuranishi structures and virtual fundamental chains. Zbl 1482.53002Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 7 2020 Homological algebra related to surfaces with boundary. Zbl 1468.18022Cieliebak, Kai; Fukaya, Kenji; Latschev, Janko 2 2020 Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 13 2019 Gromov-Witten theory via Kuranishi structures. Zbl 1444.53056Tehrani, Mohammad F.; Fukaya, Kenji 4 2019 Virtual fundamental cycles in symplectic topology. Zbl 1416.53077 3 2019 Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks. I. Zbl 1409.32021Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 8 2018 Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. Zbl 1448.57034Daemi, Aliakbar; Fukaya, Kenji 7 2018 Categorification of invariants in gauge theory and symplectic geometry. Zbl 1394.57030Fukaya, Kenji 4 2018 Antisymplectic involution and Floer cohomology. Zbl 1359.53069Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 12 2017 Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 26 2016 Shrinking good coordinate systems associated to Kuranishi structures. Zbl 1370.53061Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 6 2016 Displacement of polydisks and Lagrangian Floer theory. Zbl 1292.53056Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 7 2013 Floer homology of Lagrangian submanifolds. Zbl 1305.53085Fukaya, Kenji 5 2013 Lagrangian Floer theory over integers: spherically positive symplectic manifolds. Zbl 1293.53088Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 4 2013 Toric degeneration and nondisplaceable Lagrangian tori in \(S^{2}\times S^{2}\). Zbl 1250.53077Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 17 2012 Lagrangian Floer theory on compact toric manifolds: survey. Zbl 1382.53001Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 10 2012 Gauge theory and topology. (Geiji riron to toporoji.) Zbl 1369.81003Fukaya, Kenji 1 2012 Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 50 2011 Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. Zbl 1244.57046Fukaya, Kenji 12 2011 Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 74 2010 Cyclic symmetry and adic convergence in Lagrangian Floer theory. Zbl 1205.53090Fukaya, Kenji 40 2010 Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 5 2010 Differentiable operads, the Kuranishi correspondence, and foundations of topological field theories based on pseudo-holomorphic curves. Zbl 1214.53066Fukaya, Kenji 2 2010 Lagrangian intersection Floer theory. Anomaly and obstruction. II. Zbl 1181.53003Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 228 2009 Lagrangian intersection Floer theory. Anomaly and obstruction. I. Zbl 1181.53002Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 89 2009 The symplectic geometry of cotangent bundles from a categorical viewpoint. Zbl 1163.53344Fukaya, K.; Seidel, P.; Smith, I. 28 2009 Canonical models of filtered \(A_\infty\)-algebras and Morse complexes. Zbl 1187.53085Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru 6 2009 Exact Lagrangian submanifolds in simply-connected cotangent bundles. Zbl 1140.53036Fukaya, Kenji; Seidel, Paul; Smith, Ivan 34 2008 Application of Floer homology of Lagrangian submanifolds to symplectic topology. Zbl 1089.53064Fukaya, Kenji 22 2006 Metric Riemannian geometry. Zbl 1163.53021Fukaya, Kenji 12 2006 Floer homology in symplectic geometry and in mirror symmetry. Zbl 1107.53060Oh, Yong-Geun; Fukaya, Kenji 1 2006 The work of Kaoru Ono. Zbl 1202.01089Fukaya, Kenji 1 2006 Multivalued Morse theory, asymptotic analysis and mirror symmetry. Zbl 1085.53080Fukaya, Kenji 33 2005 Galois symmetry on Floer cohomology. Zbl 1075.53090Fukaya, Kenji 2 2003 Mirror symmetry of abelian varieties and multi-theta functions. Zbl 1002.14014Fukaya, Kenji 38 2002 Floer homology and mirror symmetry. II. Zbl 1030.53087Fukaya, Kenji 20 2002 Floer homology for families – a progress report. Zbl 1038.53083Fukaya, Kenji 13 2002 Floer homology and mirror symmetry. I. Zbl 1015.53057Fukaya, Kenji 7 2001 Floer homology and Gromov-Witten invariant over integer of general symplectic manifolds. (Summary). Zbl 1008.53069Fukuya, Kenji; Ono, Kaoru 4 2001 Floer homology for families. Zbl 1322.57025Fukaya, Kenji 4 2001 Arnold conjecture and Gromov-Witten invariant. Zbl 0946.53047Fukaya, Kenji; Ono, Kaoru 135 1999 Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds. Zbl 1004.53063Fukaya, Kenji; Ono, Kaoru 7 1999 Anti-self-dual equation on 4-manifolds with degenerate metric. Zbl 0914.53015Fukaya, K. 9 1998 Zero-loop open strings in the cotangent bundle and Morse homotopy. Zbl 0938.32009Fukaya, Kenji; Oh, Yong-Geun 38 1997 Morse homotopy and its quantization. Zbl 0891.57035Fukaya, Kenji 12 1997 Floer homology, \(A_ \infty\)-categories and topological field theory. Zbl 0867.58012Fukaya, Kenji; Seidel, Paul 4 1997 The symplectic \(S\)-cobordism conjecture: A summary. Zbl 0871.57032Fukaya, Kenji 3 1997 Floer homology of connected sum of homology 3-spheres. Zbl 0848.58010Fukaya, Kenji 22 1996 Morse homotopy and Chern-Simons perturbation theory. Zbl 0893.58017Fukaya, Kenji 1 1996 Isometry groups of singular spaces. Zbl 0797.53033Fukaya, Kenji; Yamaguchi, Takao 24 1994 Floer homology for 3-manifolds with boundary. Zbl 0884.57012Fukaya, Kenji 8 1994 Topological field theory and Morse theory. Zbl 0897.57021Fukaya, Kenji 1 1994 Morse homotopy, \(A^ \infty\)-category, and Floer homologies. Zbl 0853.57030Fukaya, Kenji 42 1993 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 78 1992 The fundamental groups of almost nonnegatively curved manifolds. Zbl 0770.53028Fukaya, Kenji; Yamaguchi, Takao 75 1992 Floer homology for oriented 3-manifolds. Zbl 0852.57014Fukaya, Kenji 8 1992 Almost nonpositively curved manifolds. Zbl 0758.53024Fukaya, Kenji; Yamaguchi, Takao 6 1991 Collapsing Riemannian manifolds and its applications. Zbl 0749.53023Fukaya, Kenji 1 1991 Hausdorff convergence of Riemannian manifolds and its applications. Zbl 0754.53004Fukaya, Kenji 35 1990 Margulis’ lemma in Riemannian geometry. Zbl 0718.53038Fukaya, Kenji 1 1990 Collapsing Riemannian manifolds to ones with lower dimension. II. Zbl 0703.53042Fukaya, Kenji 26 1989 A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters. Zbl 0652.53031Fukaya, Kenji 49 1988 A compactness theorem of a set of aspherical Riemannian orbifolds. Zbl 0646.53042Fukaya, Kenji 1 1988 Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Zbl 0589.58034Fukaya, Kenji 84 1987 Collapsing Riemannian manifolds to ones of lower dimensions. Zbl 0606.53027Fukaya, Kenji 44 1987 Theory of convergence for Riemannian orbifolds. Zbl 0654.53044Fukaya, Kenji 28 1986 On a compactification of the set of Riemannian manifolds with bounded curvature and diameters. Zbl 0598.53042Fukaya, Kenji 3 1986 A finiteness theorem for negatively curved manifolds. Zbl 0542.53023Fukaya, Kenji 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 731 Authors 22 Smith, Ivan 16 Abouzaid, Mohammed 16 Fukaya, Kenji 15 Honda, Shouhei 15 Rong, Xiaochun 13 Seidel, Paul 13 Tian, Gang 12 Ekholm, Tobias 12 Woodward, Christopher T. 12 Zinger, Aleksey 11 Oh, Yong-Geun 10 Chan, Kwokwai 10 Cho, Cheol-Hyun 10 Lau, Siu-Cheong 9 Kajiura, Hiroshige 9 Ono, Kaoru 9 Solomon, Jake P. 9 Ueda, Kazushi 9 Wehrheim, Katrin 8 Cornea, Octav 8 Dimitroglou Rizell, Georgios 8 Lott, John 8 Pan, Jiayin 8 Xu, Shicheng 8 Yamaguchi, Takao 7 Biran, Paul 7 Galaz-Garcia, Fernando 7 Kapovitch, Vitali 7 Xu, Guangbo 6 Amorim, Lino 6 Cheeger, Jeff 6 Gross, Mark 6 Joyce, Dominic David 6 Kim, Yoosik 6 Leung, Naichung Conan 6 McDuff, Dusa 6 Nishinou, Takeo 6 Sabloff, Joshua M. 6 Shioya, Takashi 6 Tuschmann, Wilderich 6 Usher, Michael 5 Cieliebak, Kai 5 Etnyre, John B. 5 Georgieva, Penka Vasileva 5 Ginzburg, Viktor L’vovich 5 Honda, Ko 5 Kasue, Atsushi 5 Katzarkov, Ludmil 5 Kawasaki, Morimichi 5 Lekili, Yankı 5 Nadler, David 5 Nohara, Yuichi 5 Ozsváth, Peter Steven 5 Shelukhin, Egor 5 Sheridan, Nick 5 Siebert, Bernd 5 Sullivan, Michael G. 5 Wei, Guofang 5 Zhang, Yuguang 4 Abbondandolo, Alberto 4 Ambrosio, Luigi 4 Chen, Bohui 4 Cho, Yunhyung 4 Eliashberg, Yakov Matveevich 4 Fang, Bohan 4 Farajzadeh Tehrani, Mohammad 4 Futaki, Masahiro 4 Gigli, Nicola 4 Her, Hailong 4 Huang, Shaosai 4 Hutchings, Michael Lounsbery 4 Kobayashi, Kazushi 4 Lee, Sangwook 4 Lu, Zhiqin 4 Lyubashenko, Volodymyr V. 4 Ma, Ziming Nikolas 4 Manolescu, Ciprian 4 Núñez-Zimbrón, Jesús 4 Ohta, Hiroshi 4 Petersen, Peter V 4 Polishchuk, Alexander Evgen’evich 4 Savaré, Giuseppe 4 Schlenk, Felix 4 Searle, Catherine 4 Streets, Jeffrey D. 4 Tseng, Hsian-Hua 4 Tu, Junwu 4 Walcher, Johannes 4 Wilhelm, Frederick H. jun. 3 Albers, Peter 3 Auroux, Denis 3 Bao, Erkao 3 Borman, Matthew Strom 3 Buhovsky, Lev 3 Cao, Yalong 3 Casals, Roger 3 Cerocchi, Filippo 3 Charalambous, Nelia 3 Colin, Vincent 3 Fang, Fuquan ...and 631 more Authors all top 5 Cited in 160 Serials 55 Geometry & Topology 53 Advances in Mathematics 31 Transactions of the American Mathematical Society 26 Algebraic & Geometric Topology 24 Communications in Mathematical Physics 24 Duke Mathematical Journal 24 Mathematische Zeitschrift 22 Selecta Mathematica. New Series 21 The Journal of Geometric Analysis 21 Geometric and Functional Analysis. GAFA 19 Mathematische Annalen 17 Journal of Geometry and Physics 17 Inventiones Mathematicae 15 Proceedings of the American Mathematical Society 14 Journal of the American Mathematical Society 14 International Journal of Mathematics 14 Journal of Fixed Point Theory and Applications 12 Journal für die Reine und Angewandte Mathematik 11 Annals of Global Analysis and Geometry 11 Frontiers of Mathematics in China 11 Kyoto Journal of Mathematics 10 Compositio Mathematica 10 Memoirs of the American Mathematical Society 10 Differential Geometry and its Applications 10 Communications in Contemporary Mathematics 10 Journal of Topology and Analysis 9 Tôhoku Mathematical Journal. Second Series 9 Calculus of Variations and Partial Differential Equations 9 Journal of the European Mathematical Society (JEMS) 8 Commentarii Mathematici Helvetici 8 Manuscripta Mathematica 7 Journal of Mathematical Physics 7 Annales de l’Institut Fourier 7 Journal of Algebraic Geometry 7 Annals of Mathematics. Second Series 7 Acta Mathematica Sinica. English Series 6 Publications Mathématiques 5 Communications on Pure and Applied Mathematics 5 Israel Journal of Mathematics 5 Letters in Mathematical Physics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Geometriae Dedicata 5 Journal of Differential Equations 5 Journal of the Mathematical Society of Japan 5 Journal of Pure and Applied Algebra 5 Nagoya Mathematical Journal 5 Topology and its Applications 5 Journal of High Energy Physics 5 Advances in Geometry 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Science China. Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin of the American Mathematical Society. New Series 4 Transformation Groups 4 Quantum Topology 4 Journal de l’École Polytechnique – Mathématiques 3 Nuclear Physics. B 3 Archiv der Mathematik 3 Journal of Algebra 3 Journal of Functional Analysis 3 Pacific Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Applied Categorical Structures 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 Noncommutative Geometry 3 Journal of Topology 3 Japanese Journal of Mathematics. 3rd Series 3 Peking Mathematical Journal 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Journal of the Korean Mathematical Society 2 Kodai Mathematical Journal 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Central European Journal of Mathematics 2 Groups, Geometry, and Dynamics 2 Journal of Homotopy and Related Structures 2 Electronic Research Announcements in Mathematical Sciences 2 Proceedings of the International Geometry Center 2 Forum of Mathematics, Sigma 2 Arnold Mathematical Journal 2 Higher Structures 1 International Journal of Modern Physics A 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 60 more Serials all top 5 Cited in 42 Fields 683 Differential geometry (53-XX) 232 Manifolds and cell complexes (57-XX) 217 Algebraic geometry (14-XX) 103 Global analysis, analysis on manifolds (58-XX) 55 Several complex variables and analytic spaces (32-XX) 55 Algebraic topology (55-XX) 50 Category theory; homological algebra (18-XX) 47 Dynamical systems and ergodic theory (37-XX) 44 Quantum theory (81-XX) 28 Partial differential equations (35-XX) 21 Associative rings and algebras (16-XX) 14 Topological groups, Lie groups (22-XX) 13 Group theory and generalizations (20-XX) 12 Probability theory and stochastic processes (60-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of particles and systems (70-XX) 9 Convex and discrete geometry (52-XX) 9 General topology (54-XX) 8 Nonassociative rings and algebras (17-XX) 8 Functional analysis (46-XX) 8 Geometry (51-XX) 8 Relativity and gravitational theory (83-XX) 7 Combinatorics (05-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 \(K\)-theory (19-XX) 3 Potential theory (31-XX) 2 Commutative algebra (13-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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