## Fukaya, Kenji

Compute Distance To:
 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 505 Co-Co-Authors
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### Co-Authors

 47 single-authored 20 Oh, Yong-Geun 20 Ono, Kaoru 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
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### 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 Tohoku 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
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### 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)

### Citations contained in zbMATH Open

66 Publications have been cited 1,435 times in 798 Documents Cited by Year
Lagrangian intersection Floer theory. Anomaly and obstruction. II. Zbl 1181.53003
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Arnold conjecture and Gromov-Witten invariant. Zbl 0946.53047
Fukaya, Kenji; Ono, Kaoru
1999
Lagrangian intersection Floer theory. Anomaly and obstruction. I. Zbl 1181.53002
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Zbl 0589.58034
Fukaya, Kenji
1987
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
1992
The fundamental groups of almost nonnegatively curved manifolds. Zbl 0770.53028
Fukaya, Kenji; Yamaguchi, Takao
1992
Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters. Zbl 0652.53031
Fukaya, Kenji
1988
Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2011
Collapsing Riemannian manifolds to ones of lower dimensions. Zbl 0606.53027
Fukaya, Kenji
1987
Morse homotopy, $$A^ \infty$$-category, and Floer homologies. Zbl 0853.57030
Fukaya, Kenji
1993
Mirror symmetry of abelian varieties and multi-theta functions. Zbl 1002.14014
Fukaya, Kenji
2002
Cyclic symmetry and adic convergence in Lagrangian Floer theory. Zbl 1205.53090
Fukaya, Kenji
2010
Zero-loop open strings in the cotangent bundle and Morse homotopy. Zbl 0938.32009
Fukaya, Kenji; Oh, Yong-Geun
1997
Hausdorff convergence of Riemannian manifolds and its applications. Zbl 0754.53004
Fukaya, Kenji
1990
Exact Lagrangian submanifolds in simply-connected cotangent bundles. Zbl 1140.53036
Fukaya, Kenji; Seidel, Paul; Smith, Ivan
2008
Multivalued Morse theory, asymptotic analysis and mirror symmetry. Zbl 1085.53080
Fukaya, Kenji
2005
Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
The symplectic geometry of cotangent bundles from a categorical viewpoint. Zbl 1163.53344
Fukaya, K.; Seidel, P.; Smith, I.
2009
Theory of convergence for Riemannian orbifolds. Zbl 0654.53044
Fukaya, Kenji
1986
Collapsing Riemannian manifolds to ones with lower dimension. II. Zbl 0703.53042
Fukaya, Kenji
1989
Isometry groups of singular spaces. Zbl 0797.53033
Fukaya, Kenji; Yamaguchi, Takao
1994
Application of Floer homology of Lagrangian submanifolds to symplectic topology. Zbl 1089.53064
Fukaya, Kenji
2006
Floer homology of connected sum of homology 3-spheres. Zbl 0848.58010
Fukaya, Kenji
1996
Floer homology and mirror symmetry. II. Zbl 1030.53087
Fukaya, Kenji
2002
Toric degeneration and nondisplaceable Lagrangian tori in $$S^{2}\times S^{2}$$. Zbl 1250.53077
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2012
Metric Riemannian geometry. Zbl 1163.53021
Fukaya, Kenji
2006
Floer homology for families – a progress report. Zbl 1038.53083
Fukaya, Kenji
2002
Morse homotopy and its quantization. Zbl 0891.57035
Fukaya, Kenji
1997
Antisymplectic involution and Floer cohomology. Zbl 1359.53069
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2017
Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. Zbl 1244.57046
Fukaya, Kenji
2011
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2019
Floer homology for oriented 3-manifolds. Zbl 0852.57014
Fukaya, Kenji
1992
Anti-self-dual equation on 4-manifolds with degenerate metric. Zbl 0914.53015
Fukaya, K.
1998
Lagrangian Floer theory on compact toric manifolds: survey. Zbl 1382.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2012
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds. Zbl 1004.53063
Fukaya, Kenji; Ono, Kaoru
1999
Floer homology and mirror symmetry. I. Zbl 1015.53057
Fukaya, Kenji
2001
Almost nonpositively curved manifolds. Zbl 0758.53024
Fukaya, Kenji; Yamaguchi, Takao
1991
Kuranishi structures and virtual fundamental chains. Zbl 1482.53002
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2020
Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks. I. Zbl 1409.32021
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2018
Displacement of polydisks and Lagrangian Floer theory. Zbl 1292.53056
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2013
Floer homology for 3-manifolds with boundary. Zbl 0884.57012
Fukaya, Kenji
1994
Shrinking good coordinate systems associated to Kuranishi structures. Zbl 1370.53061
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
Canonical models of filtered $$A_\infty$$-algebras and Morse complexes. Zbl 1187.53085
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Lagrangian Floer theory over integers: spherically positive symplectic manifolds. Zbl 1293.53088
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2013
Floer homology, $$A_ \infty$$-categories and topological field theory. Zbl 0867.58012
Fukaya, Kenji; Seidel, Paul
1997
Floer homolgoy and Gromov-Witten invariant over integer of general symplectic manifolds. (Summary). Zbl 1008.53069
Fukuya, Kenji; Ono, Kaoru
2001
Floer homology for families. Zbl 1322.57025
Fukaya, Kenji
2001
Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Floer homology of Lagrangian submanifolds. Zbl 1305.53085
Fukaya, Kenji
2013
On a compactification of the set of Riemannian manifolds with bounded curvature and diameters. Zbl 0598.53042
Fukaya, Kenji
1986
Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. Zbl 1448.57034
Daemi, Aliakbar; Fukaya, Kenji
2018
The symplectic $$S$$-cobordism conjecture: A summary. Zbl 0871.57032
Fukaya, Kenji
1997
Categorification of invariants in gauge theory and symplectic geometry. Zbl 1394.57030
Fukaya, Kenji
2018
Virtual fundamental cycles in symplectic topology. Zbl 1416.53077
2019
Gromov-Witten theory via Kuranishi structures. Zbl 1444.53056
2019
A finiteness theorem for negatively curved manifolds. Zbl 0542.53023
Fukaya, Kenji
1984
Galois symmetry on Floer cohomology. Zbl 1075.53090
Fukaya, Kenji
2003
Differentiable operads, the Kuranishi correspondence, and foundations of topological field theories based on pseudo-holomorphic curves. Zbl 1214.53066
Fukaya, Kenji
2010
A compactness theorem of a set of aspherical Riemannian orbifolds. Zbl 0646.53042
Fukaya, Kenji
1988
Floer homology in symplectic geometry and in mirror symmetry. Zbl 1107.53060
Oh, Yong-Geun; Fukaya, Kenji
2006
Gauge theory and topology. (Geiji riron to toporoji.) Zbl 1369.81003
Fukaya, Kenji
2012
Topological field theory and Morse theory. Zbl 0897.57021
Fukaya, Kenji
1994
Margulis’ lemma in Riemannian geometry. Zbl 0718.53038
Fukaya, Kenji
1990
Collapsing Riemannian manifolds and its applications. Zbl 0749.53023
Fukaya, Kenji
1991
The work of Kaoru Ono. Zbl 1202.01089
Fukaya, Kenji
2006
Kuranishi structures and virtual fundamental chains. Zbl 1482.53002
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2020
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2019
Virtual fundamental cycles in symplectic topology. Zbl 1416.53077
2019
Gromov-Witten theory via Kuranishi structures. Zbl 1444.53056
2019
Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks. I. Zbl 1409.32021
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2018
Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. Zbl 1448.57034
Daemi, Aliakbar; Fukaya, Kenji
2018
Categorification of invariants in gauge theory and symplectic geometry. Zbl 1394.57030
Fukaya, Kenji
2018
Antisymplectic involution and Floer cohomology. Zbl 1359.53069
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2017
Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
Shrinking good coordinate systems associated to Kuranishi structures. Zbl 1370.53061
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
Displacement of polydisks and Lagrangian Floer theory. Zbl 1292.53056
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2013
Lagrangian Floer theory over integers: spherically positive symplectic manifolds. Zbl 1293.53088
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2013
Floer homology of Lagrangian submanifolds. Zbl 1305.53085
Fukaya, Kenji
2013
Toric degeneration and nondisplaceable Lagrangian tori in $$S^{2}\times S^{2}$$. Zbl 1250.53077
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2012
Lagrangian Floer theory on compact toric manifolds: survey. Zbl 1382.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2012
Gauge theory and topology. (Geiji riron to toporoji.) Zbl 1369.81003
Fukaya, Kenji
2012
Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2011
Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. Zbl 1244.57046
Fukaya, Kenji
2011
Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Cyclic symmetry and adic convergence in Lagrangian Floer theory. Zbl 1205.53090
Fukaya, Kenji
2010
Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Differentiable operads, the Kuranishi correspondence, and foundations of topological field theories based on pseudo-holomorphic curves. Zbl 1214.53066
Fukaya, Kenji
2010
Lagrangian intersection Floer theory. Anomaly and obstruction. II. Zbl 1181.53003
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Lagrangian intersection Floer theory. Anomaly and obstruction. I. Zbl 1181.53002
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
The symplectic geometry of cotangent bundles from a categorical viewpoint. Zbl 1163.53344
Fukaya, K.; Seidel, P.; Smith, I.
2009
Canonical models of filtered $$A_\infty$$-algebras and Morse complexes. Zbl 1187.53085
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Exact Lagrangian submanifolds in simply-connected cotangent bundles. Zbl 1140.53036
Fukaya, Kenji; Seidel, Paul; Smith, Ivan
2008
Application of Floer homology of Lagrangian submanifolds to symplectic topology. Zbl 1089.53064
Fukaya, Kenji
2006
Metric Riemannian geometry. Zbl 1163.53021
Fukaya, Kenji
2006
Floer homology in symplectic geometry and in mirror symmetry. Zbl 1107.53060
Oh, Yong-Geun; Fukaya, Kenji
2006
The work of Kaoru Ono. Zbl 1202.01089
Fukaya, Kenji
2006
Multivalued Morse theory, asymptotic analysis and mirror symmetry. Zbl 1085.53080
Fukaya, Kenji
2005
Galois symmetry on Floer cohomology. Zbl 1075.53090
Fukaya, Kenji
2003
Mirror symmetry of abelian varieties and multi-theta functions. Zbl 1002.14014
Fukaya, Kenji
2002
Floer homology and mirror symmetry. II. Zbl 1030.53087
Fukaya, Kenji
2002
Floer homology for families – a progress report. Zbl 1038.53083
Fukaya, Kenji
2002
Floer homology and mirror symmetry. I. Zbl 1015.53057
Fukaya, Kenji
2001
Floer homolgoy and Gromov-Witten invariant over integer of general symplectic manifolds. (Summary). Zbl 1008.53069
Fukuya, Kenji; Ono, Kaoru
2001
Floer homology for families. Zbl 1322.57025
Fukaya, Kenji
2001
Arnold conjecture and Gromov-Witten invariant. Zbl 0946.53047
Fukaya, Kenji; Ono, Kaoru
1999
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds. Zbl 1004.53063
Fukaya, Kenji; Ono, Kaoru
1999
Anti-self-dual equation on 4-manifolds with degenerate metric. Zbl 0914.53015
Fukaya, K.
1998
Zero-loop open strings in the cotangent bundle and Morse homotopy. Zbl 0938.32009
Fukaya, Kenji; Oh, Yong-Geun
1997
Morse homotopy and its quantization. Zbl 0891.57035
Fukaya, Kenji
1997
Floer homology, $$A_ \infty$$-categories and topological field theory. Zbl 0867.58012
Fukaya, Kenji; Seidel, Paul
1997
The symplectic $$S$$-cobordism conjecture: A summary. Zbl 0871.57032
Fukaya, Kenji
1997
Floer homology of connected sum of homology 3-spheres. Zbl 0848.58010
Fukaya, Kenji
1996
Isometry groups of singular spaces. Zbl 0797.53033
Fukaya, Kenji; Yamaguchi, Takao
1994
Floer homology for 3-manifolds with boundary. Zbl 0884.57012
Fukaya, Kenji
1994
Topological field theory and Morse theory. Zbl 0897.57021
Fukaya, Kenji
1994
Morse homotopy, $$A^ \infty$$-category, and Floer homologies. Zbl 0853.57030
Fukaya, Kenji
1993
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
1992
The fundamental groups of almost nonnegatively curved manifolds. Zbl 0770.53028
Fukaya, Kenji; Yamaguchi, Takao
1992
Floer homology for oriented 3-manifolds. Zbl 0852.57014
Fukaya, Kenji
1992
Almost nonpositively curved manifolds. Zbl 0758.53024
Fukaya, Kenji; Yamaguchi, Takao
1991
Collapsing Riemannian manifolds and its applications. Zbl 0749.53023
Fukaya, Kenji
1991
Hausdorff convergence of Riemannian manifolds and its applications. Zbl 0754.53004
Fukaya, Kenji
1990
Margulis’ lemma in Riemannian geometry. Zbl 0718.53038
Fukaya, Kenji
1990
Collapsing Riemannian manifolds to ones with lower dimension. II. Zbl 0703.53042
Fukaya, Kenji
1989
A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters. Zbl 0652.53031
Fukaya, Kenji
1988
A compactness theorem of a set of aspherical Riemannian orbifolds. Zbl 0646.53042
Fukaya, Kenji
1988
Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Zbl 0589.58034
Fukaya, Kenji
1987
Collapsing Riemannian manifolds to ones of lower dimensions. Zbl 0606.53027
Fukaya, Kenji
1987
Theory of convergence for Riemannian orbifolds. Zbl 0654.53044
Fukaya, Kenji
1986
On a compactification of the set of Riemannian manifolds with bounded curvature and diameters. Zbl 0598.53042
Fukaya, Kenji
1986
A finiteness theorem for negatively curved manifolds. Zbl 0542.53023
Fukaya, Kenji
1984
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### Cited by 669 Authors

 22 Smith, Ivan 16 Abouzaid, Mohammed 16 Fukaya, Kenji 15 Honda, Shouhei 15 Rong, Xiaochun 13 Tian, Gang 12 Ekholm, Tobias 12 Seidel, Paul 12 Zinger, Aleksey 10 Chan, Kwokwai 10 Cho, Cheol-Hyun 10 Lau, Siu-Cheong 10 Woodward, Christopher T. 9 Kajiura, Hiroshige 9 Oh, Yong-Geun 9 Ono, Kaoru 9 Solomon, Jake P. 9 Ueda, Kazushi 9 Wehrheim, Katrin 8 Cornea, Octav 8 Dimitroglou Rizell, Georgios 8 Lott, John 8 Xu, Shicheng 8 Yamaguchi, Takao 7 Biran, Paul 7 Galaz-Garcia, Fernando 6 Amorim, Lino 6 Cheeger, Jeff 6 Joyce, Dominic David 6 Leung, Naichung Conan 6 McDuff, Dusa 6 Nishinou, Takeo 6 Sabloff, Joshua M. 6 Shioya, Takashi 6 Tuschmann, Wilderich 6 Usher, Michael 6 Xu, Guangbo 5 Cieliebak, Kai 5 Etnyre, John B. 5 Georgieva, Penka Vasileva 5 Ginzburg, Viktor L’vovich 5 Kapovitch, Vitali 5 Kasue, Atsushi 5 Katzarkov, Ludmil 5 Nadler, David 5 Nohara, Yuichi 5 Ozsváth, Peter Steven 5 Pan, Jiayin 5 Zhang, Yuguang 4 Abbondandolo, Alberto 4 Ambrosio, Luigi 4 Chen, Bohui 4 Eliashberg, Yakov Matveevich 4 Futaki, Masahiro 4 Gigli, Nicola 4 Gross, Mark 4 Her, Hailong 4 Huang, Shaosai 4 Kawasaki, Morimichi 4 Kim, Yoosik 4 Lee, Sangwook 4 Lekili, Yankı 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 Savaré, Giuseppe 4 Schlenk, Felix 4 Searle, Catherine 4 Sheridan, Nick 4 Streets, Jeffrey D. 4 Sullivan, Michael G. 4 Tu, Junwu 4 Walcher, Johannes 4 Wei, Guofang 4 Wilhelm, Frederick H. jun. 3 Albers, Peter 3 Auroux, Denis 3 Borman, Matthew Strom 3 Buhovsky, Lev 3 Cao, Yalong 3 Casals, Roger 3 Cerocchi, Filippo 3 Charalambous, Nelia 3 Cho, Yunhyung 3 Colin, Vincent 3 Fang, Bohan 3 Fang, Fuquan 3 Frauenfelder, Urs Adrian 3 Harvey, John Matthew 3 Honda, Ko 3 Hong, Hansol 3 Hu, Jianxun 3 Hutchings, Michael Lounsbery 3 Kanazawa, Atsushi 3 Kobayashi, Kazushi 3 Kragh, Thomas ...and 569 more Authors
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### Cited in 155 Serials

 48 Advances in Mathematics 45 Geometry & Topology 29 Transactions of the American Mathematical Society 24 Communications in Mathematical Physics 24 Duke Mathematical Journal 23 Mathematische Zeitschrift 22 Selecta Mathematica. New Series 21 The Journal of Geometric Analysis 21 Geometric and Functional Analysis. GAFA 21 Algebraic & Geometric Topology 18 Mathematische Annalen 16 Journal of Geometry and Physics 15 Inventiones Mathematicae 14 Proceedings of the American Mathematical Society 14 Journal of the American Mathematical Society 13 International Journal of Mathematics 11 Journal für die Reine und Angewandte Mathematik 11 Annals of Global Analysis and Geometry 11 Journal of Fixed Point Theory and Applications 11 Frontiers of Mathematics in China 10 Compositio Mathematica 10 Differential Geometry and its Applications 10 Journal of Topology and Analysis 10 Kyoto Journal of Mathematics 9 Tohoku Mathematical Journal. Second Series 9 Calculus of Variations and Partial Differential Equations 8 Manuscripta Mathematica 8 Memoirs of the American Mathematical Society 8 Journal of the European Mathematical Society (JEMS) 8 Communications in Contemporary Mathematics 7 Journal of Mathematical Physics 7 Annales de l’Institut Fourier 7 Acta Mathematica Sinica. English Series 6 Commentarii Mathematici Helvetici 6 Publications Mathématiques 6 Journal of Algebraic Geometry 5 Communications on Pure and Applied Mathematics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of Differential Equations 5 Journal of Pure and Applied Algebra 5 Topology and its Applications 5 Annals of Mathematics. Second Series 5 Journal of High Energy Physics 5 Advances in Geometry 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Science China. Mathematics 4 Israel Journal of Mathematics 4 Letters in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Geometriae Dedicata 4 Journal of the Mathematical Society of Japan 4 Nagoya Mathematical Journal 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 International Journal of Geometric Methods in Modern Physics 3 Journal of Noncommutative Geometry 3 Journal of Topology 3 Japanese Journal of Mathematics. 3rd Series 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series B 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 Arnold Mathematical Journal 2 Higher Structures 2 Peking Mathematical Journal 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) 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. B 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability ...and 55 more Serials
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### Cited in 42 Fields

 631 Differential geometry (53-XX) 212 Manifolds and cell complexes (57-XX) 198 Algebraic geometry (14-XX) 99 Global analysis, analysis on manifolds (58-XX) 52 Several complex variables and analytic spaces (32-XX) 51 Algebraic topology (55-XX) 49 Category theory; homological algebra (18-XX) 45 Dynamical systems and ergodic theory (37-XX) 39 Quantum theory (81-XX) 27 Partial differential equations (35-XX) 20 Associative rings and algebras (16-XX) 15 Topological groups, Lie groups (22-XX) 12 Group theory and generalizations (20-XX) 10 Probability theory and stochastic processes (60-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 8 Nonassociative rings and algebras (17-XX) 8 Functional analysis (46-XX) 8 Geometry (51-XX) 8 General topology (54-XX) 7 Convex and discrete geometry (52-XX) 7 Relativity and gravitational theory (83-XX) 6 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)

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