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## Fukaya, Kenji

Compute Distance To:
 Author ID: fukaya.kenji Published as: Fukaya, Kenji; Fukaya, K.; Fukuya, Kenji Homepage: https://www.math.kyoto-u.ac.jp/~fukaya/fukaya.html External Links: MGP · Wikidata · GND
 Documents Indexed: 82 Publications since 1984, including 11 Books Biographic References: 1 Publication
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#### Co-Authors

 46 single-authored 20 Ono, Kaoru 19 Oh, Yong-Geun 16 Ohta, Hiroshi 4 Yamaguchi, Takao 3 Seidel, Paul 2 Smith, Ivan 1 Cheeger, Jeff 1 Cieliebak, Kai 1 Daemi, Aliakbar 1 Eliashberg, Yakov Matveevich 1 Farajzadeh Tehrani, Mohammad 1 Furuta, Mikio 1 Gromov, Mikhael Leonidovich 1 Kohno, Toshitake 1 Kotschick, Dieter 1 Latschev, Janko 1 Muñoz Velázquez, Vicente 1 Nishikawa, Seiki 1 Presas, Francisco 1 Spruck, Joel 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 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 Japanese Journal of Mathematics. 3rd Series 1 Quantum Topology 1 Kyoto Journal of Mathematics 1 Springer Monographs in Mathematics
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#### Fields

 70 Differential geometry (53-XX) 31 Manifolds and cell complexes (57-XX) 16 Algebraic geometry (14-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Quantum theory (81-XX) 11 Algebraic topology (55-XX) 5 Category theory; homological algebra (18-XX) 4 General and overarching topics; collections (00-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

64 Publications have been cited 1,291 times in 729 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
Collapsing Riemannian manifolds to ones of lower dimensions. Zbl 0606.53027
Fukaya, Kenji
1987
Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2011
Mirror symmetry of abelian varieties and multi-theta functions. Zbl 1002.14014
Fukaya, Kenji
2002
Hausdorff convergence of Riemannian manifolds and its applications. Zbl 0754.53004
Fukaya, Kenji
1990
Morse homotopy, $$A^ \infty$$-category, and Floer homologies. Zbl 0853.57030
Fukaya, Kenji
1993
Zero-loop open strings in the cotangent bundle and Morse homotopy. Zbl 0938.32009
Fukaya, Kenji; Oh, Yong-Geun
1997
Cyclic symmetry and adic convergence in Lagrangian Floer theory. Zbl 1205.53090
Fukaya, Kenji
2010
Exact Lagrangian submanifolds in simply-connected cotangent bundles. Zbl 1140.53036
Fukaya, Kenji; Seidel, Paul; Smith, Ivan
2008
The symplectic geometry of cotangent bundles from a categorical viewpoint. Zbl 1163.53344
Fukaya, K.; Seidel, P.; Smith, I.
2009
Multivalued Morse theory, asymptotic analysis and mirror symmetry. Zbl 1085.53080
Fukaya, Kenji
2005
Collapsing Riemannian manifolds to ones with lower dimension. II. Zbl 0703.53042
Fukaya, Kenji
1989
Theory of convergence for Riemannian orbifolds. Zbl 0654.53044
Fukaya, Kenji
1986
Isometry groups of singular spaces. Zbl 0797.53033
Fukaya, Kenji; Yamaguchi, Takao
1994
Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
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
Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. Zbl 1244.57046
Fukaya, Kenji
2011
Floer homology for oriented 3-manifolds. Zbl 0852.57014
Fukaya, Kenji
1992
Antisymplectic involution and Floer cohomology. Zbl 1359.53069
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2017
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
Anti-self-dual equation on 4-manifolds with degenerate metric. Zbl 0914.53015
Fukaya, K.
1998
Almost nonpositively curved manifolds. Zbl 0758.53024
Fukaya, Kenji; Yamaguchi, Takao
1991
Canonical models of filtered $$A_\infty$$-algebras and Morse complexes. Zbl 1187.53085
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Floer homology for 3-manifolds with boundary. Zbl 0884.57012
Fukaya, Kenji
1994
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2019
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 homology for families. Zbl 1322.57025
Fukaya, Kenji
2001
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
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
The symplectic $$S$$-cobordism conjecture: A summary. Zbl 0871.57032
Fukaya, Kenji
1997
On a compactification of the set of Riemannian manifolds with bounded curvature and diameters. Zbl 0598.53042
Fukaya, Kenji
1986
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
Floer homology of Lagrangian submanifolds. Zbl 1305.53085
Fukaya, Kenji
2013
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
A finiteness theorem for negatively curved manifolds. Zbl 0542.53023
Fukaya, Kenji
1984
Gromov-Witten theory via Kuranishi structures. Zbl 1444.53056
2019
Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. Zbl 1448.57034
Daemi, Aliakbar; Fukaya, Kenji
2018
Galois symmetry on Floer cohomology. Zbl 1075.53090
Fukaya, Kenji
2003
Categorification of invariants in gauge theory and symplectic geometry. Zbl 1394.57030
Fukaya, Kenji
2018
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
A compactness theorem of a set of aspherical Riemannian orbifolds. Zbl 0646.53042
Fukaya, Kenji
1988
Margulis’ lemma in Riemannian geometry. Zbl 0718.53038
Fukaya, Kenji
1990
Gauge theory and topology. (Geiji riron to toporoji.) Zbl 1369.81003
Fukaya, Kenji
2012
Collapsing Riemannian manifolds and its applications. Zbl 0749.53023
Fukaya, Kenji
1991
Topological field theory and Morse theory. Zbl 0897.57021
Fukaya, Kenji
1994
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
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
Lagrangian Floer theory over integers: spherically positive symplectic manifolds. Zbl 1293.53088
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2013
Displacement of polydisks and Lagrangian Floer theory. Zbl 1292.53056
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 for families. Zbl 1322.57025
Fukaya, Kenji
2001
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
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 611 Authors

 20 Smith, Ivan 15 Rong, Xiaochun 14 Abouzaid, Mohammed 14 Honda, Shouhei 13 Fukaya, Kenji 12 Ekholm, Tobias 12 Seidel, Paul 12 Tian, Gang 12 Zinger, Aleksey 10 Woodward, Christopher T. 9 Cho, Cheol-Hyun 9 Kajiura, Hiroshige 9 Lau, Siu-Cheong 9 Ueda, Kazushi 8 Chan, Kwokwai 8 Dimitroglou Rizell, Georgios 8 Oh, Yong-Geun 8 Solomon, Jake P. 8 Wehrheim, Katrin 8 Yamaguchi, Takao 7 Cornea, Octav 7 Galaz-Garcia, Fernando 7 Lott, John 7 Ono, Kaoru 7 Xu, Shicheng 6 Biran, Paul 6 Cheeger, Jeff 6 McDuff, Dusa 6 Nishinou, Takeo 6 Sabloff, Joshua M. 6 Shioya, Takashi 6 Tuschmann, Wilderich 6 Usher, Michael 5 Amorim, Lino 5 Cieliebak, Kai 5 Etnyre, John B. 5 Georgieva, Penka Vasileva 5 Ginzburg, Viktor L’vovich 5 Joyce, Dominic David 5 Kapovitch, Vitali 5 Kasue, Atsushi 5 Nadler, David 5 Nohara, Yuichi 5 Sullivan, Michael G. 5 Xu, Guangbo 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 Katzarkov, Ludmil 4 Kim, Yoosik 4 Lekili, Yankı 4 Leung, Naichung Conan 4 Lyubashenko, Volodymyr V. 4 Manolescu, Ciprian 4 Ozsváth, Peter Steven 4 Petersen, Peter V 4 Savaré, Giuseppe 4 Schlenk, Felix 4 Sheridan, Nick 4 Streets, Jeffrey D. 4 Walcher, Johannes 4 Wilhelm, Frederick H. jun. 3 Albers, Peter 3 Auroux, Denis 3 Borman, Matthew Strom 3 Buhovsky, Lev 3 Casals, Roger 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 Hu, Jianxun 3 Huang, Shaosai 3 Hutchings, Michael Lounsbery 3 Kanazawa, Atsushi 3 Kragh, Thomas 3 Lalonde, François 3 Leclercq, Rémi 3 Li, An-Min 3 Li, Tian-Jun 3 Lin, Yu-Shen 3 Lu, Guangcun 3 Lu, Zhiqin 3 Marelli, Giovanni 3 McLean, Mark 3 Ng, Lenhard L. 3 Núñez-Zimbrón, Jesús 3 Ohta, Hiroshi 3 Paeng, Seong-Hun 3 Pan, Jiayin ...and 511 more Authors
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#### Cited in 144 Serials

 45 Geometry & Topology 44 Advances in Mathematics 28 Transactions of the American Mathematical Society 24 Duke Mathematical Journal 23 Communications in Mathematical Physics 21 Mathematische Zeitschrift 21 Algebraic & Geometric Topology 20 Selecta Mathematica. New Series 19 Geometric and Functional Analysis. GAFA 17 The Journal of Geometric Analysis 16 Mathematische Annalen 15 Journal of Geometry and Physics 15 Inventiones Mathematicae 13 Proceedings of the American Mathematical Society 13 Journal of the American Mathematical Society 13 International Journal of Mathematics 10 Compositio Mathematica 10 Annals of Global Analysis and Geometry 10 Differential Geometry and its Applications 10 Frontiers of Mathematics in China 9 Tohoku Mathematical Journal. Second Series 9 Journal of Topology and Analysis 9 Kyoto Journal of Mathematics 8 Journal für die Reine und Angewandte Mathematik 7 Journal of Mathematical Physics 7 Annales de l’Institut Fourier 7 Manuscripta Mathematica 7 Memoirs of the American Mathematical Society 7 Calculus of Variations and Partial Differential Equations 7 Acta Mathematica Sinica. English Series 7 Communications in Contemporary Mathematics 7 Journal of Fixed Point Theory and Applications 6 Publications Mathématiques 6 Journal of Algebraic Geometry 6 Journal of the European Mathematical Society (JEMS) 5 Communications on Pure and Applied Mathematics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Commentarii Mathematici Helvetici 5 Journal of Differential Equations 5 Topology and its Applications 5 Annals of Mathematics. Second Series 5 Advances in Geometry 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Science China. Mathematics 4 Letters in Mathematical Physics 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 Journal of High Energy Physics 4 Quantum Topology 4 Journal de l’École Polytechnique – Mathématiques 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nuclear Physics. B 3 Journal of Algebra 3 Journal of Functional Analysis 3 Journal of Pure and Applied Algebra 3 Pacific Journal of Mathematics 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 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 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 Electronic Research Announcements in Mathematical Sciences 2 Arnold Mathematical Journal 2 Peking Mathematical Journal 1 International Journal of Modern Physics A 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 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Fuzzy Sets and Systems 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal ...and 44 more Serials
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#### Cited in 42 Fields

 571 Differential geometry (53-XX) 194 Manifolds and cell complexes (57-XX) 172 Algebraic geometry (14-XX) 89 Global analysis, analysis on manifolds (58-XX) 47 Several complex variables and analytic spaces (32-XX) 47 Algebraic topology (55-XX) 44 Category theory; homological algebra (18-XX) 38 Dynamical systems and ergodic theory (37-XX) 34 Quantum theory (81-XX) 24 Partial differential equations (35-XX) 17 Associative rings and algebras (16-XX) 13 Topological groups, Lie groups (22-XX) 9 Group theory and generalizations (20-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 8 Geometry (51-XX) 7 Functional analysis (46-XX) 7 Convex and discrete geometry (52-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 6 General topology (54-XX) 6 Mechanics of particles and systems (70-XX) 5 Nonassociative rings and algebras (17-XX) 5 Operator theory (47-XX) 4 Number theory (11-XX) 4 $$K$$-theory (19-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-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 Statistics (62-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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