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## Ohta, Hiroshi

Compute Distance To:
 Author ID: ohta.hiroshi Published as: Ohta, Hiroshi; Ohta, H.
 Documents Indexed: 32 Publications since 1990, including 5 Books

#### Co-Authors

 5 single-authored 25 Ono, Kaoru 16 Fukaya, Kenji 16 Oh, Yong-Geun 1 Furuta, Mikio 1 Sanda, Fumihiko
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#### Serials

 2 The Journal of Symplectic Geometry 2 Pure and Applied Mathematics Quarterly 2 AMS/IP Studies in Advanced Mathematics 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Faculty of Science. Section I A 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Geometry & Topology 1 RIMS Kokyuroku 1 Astérisque 1 Journal of Fixed Point Theory and Applications 1 Springer Monographs in Mathematics
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#### Fields

 27 Differential geometry (53-XX) 14 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 3 Category theory; homological algebra (18-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 495 times in 333 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
Lagrangian intersection Floer theory. Anomaly and obstruction. I. Zbl 1181.53002
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2011
Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Zbl 1344.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2016
Simple singularities and topology of symplectically filling 4-manifold. Zbl 0957.57022
Ohta, Hiroshi; Ono, Kaoru
1999
Notes on symplectic 4-manifolds with $$b_ 2^ + = 1$$. II. Zbl 0873.53020
Ohta, Hiroshi; Ono, Kaoru
1996
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
Simple singularities and symplectic fillings. Zbl 1085.53079
Ohta, Hiroshi; Ono, Kaoru
2005
Symplectic fillings of the link of simple elliptic singularities. Zbl 1044.57008
Ohta, Hiroshi; Ono, Kaoru
2003
Differentiable structures on punctured 4-manifolds. Zbl 0799.57009
Furuta, Mikio; Ohta, Hiroshi
1993
Lagrangian Floer theory on compact toric manifolds: survey. Zbl 1382.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2012
Antisymplectic involution and Floer cohomology. Zbl 1359.53069
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2017
Canonical models of filtered $$A_\infty$$-algebras and Morse complexes. Zbl 1187.53085
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
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
Symplectic 4-manifolds with $$b_ 2^ +=1$$. Zbl 0873.53018
Ohta, Hiroshi; Ono, Kaoru
1997
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
Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Intersection forms of 4-manifolds with a homology 3-sphere boundary. Zbl 0737.57008
Ohta, Hiroshi
1991
Symplectic 4-manifolds containing singular rational curves with (2,3)-cusp. Zbl 1082.53080
Ohta, Hiroshi; Ono, Kaoru
2005
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
Examples of isolated surface singularities whose links have infinitely many symplectic fillings. Zbl 1157.57017
Ohta, Hiroshi; Ono, Kaoru
2008
On the fundamental groups of moduli spaces of irreducible SU(2)-connections over closed 4-manifolds. Zbl 0704.57010
Ohta, Hiroshi
1990
Obstruction to and deformation of Lagrangian intersection Floer cohomology. Zbl 1013.53057
Ohta, Hiroshi
2001
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Zbl 1455.53001
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
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
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
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
Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations. Zbl 1234.53023
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2011
Lagrangian Floer theory on compact toric manifolds. I. Zbl 1190.53078
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2010
Anchored Lagrangian submanifolds and their Floer theory. Zbl 1219.53079
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
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
Canonical models of filtered $$A_\infty$$-algebras and Morse complexes. Zbl 1187.53085
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
2009
Examples of isolated surface singularities whose links have infinitely many symplectic fillings. Zbl 1157.57017
Ohta, Hiroshi; Ono, Kaoru
2008
Simple singularities and symplectic fillings. Zbl 1085.53079
Ohta, Hiroshi; Ono, Kaoru
2005
Symplectic 4-manifolds containing singular rational curves with (2,3)-cusp. Zbl 1082.53080
Ohta, Hiroshi; Ono, Kaoru
2005
Symplectic fillings of the link of simple elliptic singularities. Zbl 1044.57008
Ohta, Hiroshi; Ono, Kaoru
2003
Obstruction to and deformation of Lagrangian intersection Floer cohomology. Zbl 1013.53057
Ohta, Hiroshi
2001
Simple singularities and topology of symplectically filling 4-manifold. Zbl 0957.57022
Ohta, Hiroshi; Ono, Kaoru
1999
Symplectic 4-manifolds with $$b_ 2^ +=1$$. Zbl 0873.53018
Ohta, Hiroshi; Ono, Kaoru
1997
Notes on symplectic 4-manifolds with $$b_ 2^ + = 1$$. II. Zbl 0873.53020
Ohta, Hiroshi; Ono, Kaoru
1996
Differentiable structures on punctured 4-manifolds. Zbl 0799.57009
Furuta, Mikio; Ohta, Hiroshi
1993
Intersection forms of 4-manifolds with a homology 3-sphere boundary. Zbl 0737.57008
Ohta, Hiroshi
1991
On the fundamental groups of moduli spaces of irreducible SU(2)-connections over closed 4-manifolds. Zbl 0704.57010
Ohta, Hiroshi
1990
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#### Cited by 306 Authors

 14 Smith, Ivan 12 Abouzaid, Mohammed 9 Cho, Cheol-Hyun 9 Lau, Siu-Cheong 9 Ueda, Kazushi 9 Woodward, Christopher T. 8 Chan, Kwokwai 8 Ekholm, Tobias 8 Oh, Yong-Geun 8 Seidel, Paul 7 Cornea, Octav 7 Fukaya, Kenji 7 Solomon, Jake P. 6 Biran, Paul 6 Cho, Yunhyung 6 Etnyre, John B. 6 Ono, Kaoru 6 Wehrheim, Katrin 5 Dimitroglou Rizell, Georgios 5 Eliashberg, Yakov Matveevich 5 Georgieva, Penka Vasileva 5 Li, Tian-Jun 5 McDuff, Dusa 4 Abbondandolo, Alberto 4 Amorim, Lino 4 Bhupal, Mohan 4 Joyce, Dominic David 4 Katzarkov, Ludmil 4 Kim, Yoosik 4 Leung, Naichung Conan 4 Nadler, David 4 Nohara, Yuichi 4 Ohta, Hiroshi 4 Ozbagci, Burak 4 Ozsváth, Peter Steven 4 Schlenk, Felix 4 Sullivan, Michael G. 4 Usher, Michael 4 Wu, Weiwei 3 Auroux, Denis 3 Borman, Matthew Strom 3 Cieliebak, Kai 3 Futaki, Masahiro 3 Kanazawa, Atsushi 3 Lekili, Yankı 3 Lin, Yu-Shen 3 Lyubashenko, Volodymyr V. 3 Manolescu, Ciprian 3 Plamenevskaya, Olga 3 Ruberman, Daniel 3 Sabloff, Joshua M. 3 Saveliev, Nikolai 3 Schwarz, Matthias 3 Sheridan, Nick 3 Szabo, Zoltan 3 Tseng, Hsian-Hua 3 Walcher, Johannes 3 Yau, Shing-Tung 3 Zaslow, Eric 3 Zinger, Aleksey 2 Abreu, Miguel 2 Albers, Peter 2 Baldwin, John A. 2 Ballico, Edoardo 2 Cao, Yalong 2 Chen, Xiaojun 2 Colin, Vincent 2 Costello, Kevin Joseph 2 Dai, Bo 2 De Deken, Olivier 2 Evans, Jonathan David 2 Fabert, Oliver 2 Fang, Bohan 2 Ferreira de Velloso Vianna, Renato 2 Frauenfelder, Urs Adrian 2 Gasparim, Elizabeth 2 Ginzburg, Viktor L’vovich 2 Golla, Marco 2 Gonzalez, Eduardo 2 Her, Hailong 2 Ho, Chung-I 2 Hong, Hansol 2 Iriyeh, Hiroshi 2 Jerby, Yochay 2 Kajiura, Hiroshige 2 Katz, Sheldon 2 Kawasaki, Morimichi 2 Lalonde, François 2 LeBrun, Claude R. 2 Leclercq, Rémi 2 Lee, Sangwook 2 Lisca, Paolo 2 Lowen, Wendy 2 Macarini, Leonardo 2 Mak, Cheuk Yu 2 Murphy, Emmy 2 Ng, Lenhard L. 2 Nishinou, Takeo 2 Orlov, Dmitri O. 2 Pardon, John Vincent ...and 206 more Authors
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#### Cited in 92 Serials

 31 Geometry & Topology 29 Advances in Mathematics 15 Selecta Mathematica. New Series 14 Transactions of the American Mathematical Society 13 Communications in Mathematical Physics 11 Algebraic & Geometric Topology 10 Duke Mathematical Journal 9 Mathematische Annalen 9 International Journal of Mathematics 9 Geometric and Functional Analysis. GAFA 8 Inventiones Mathematicae 7 Journal of the American Mathematical Society 7 Kyoto Journal of Mathematics 6 Journal of Fixed Point Theory and Applications 5 Journal of Geometry and Physics 5 Geometriae Dedicata 5 Publications Mathématiques 5 Mathematische Zeitschrift 5 Journal of the European Mathematical Society (JEMS) 4 Memoirs of the American Mathematical Society 4 Topology and its Applications 4 Journal of Topology and Analysis 3 Journal of Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 Bulletin of the London Mathematical Society 3 Compositio Mathematica 3 Nagoya Mathematical Journal 3 Pacific Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Algebraic Geometry 3 Journal of Topology 3 Japanese Journal of Mathematics. 3rd Series 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Commentarii Mathematici Helvetici 2 Journal of the Korean Mathematical Society 2 Journal of Pure and Applied Algebra 2 Applied Categorical Structures 2 Transformation Groups 2 Annals of Mathematics. Second Series 2 Journal of High Energy Physics 2 Advances in Geometry 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Frontiers of Mathematics in China 2 Journal of Noncommutative Geometry 2 Quantum Topology 2 Journal de l’École Polytechnique – Mathématiques 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Physics Letters. B 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Matematički Vesnik 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Boletim da Sociedade Portuguesa de Matemática 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Theory and Applications of Categories 1 Electronic Research Announcements of the American Mathematical Society 1 Taiwanese Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Journal of Homotopy and Related Structures 1 Electronic Research Announcements in Mathematical Sciences 1 Science China. Mathematics 1 Journal of Singularities 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 SIAM Journal on Applied Algebra and Geometry 1 Winter Braids Lecture Notes
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#### Cited in 27 Fields

 258 Differential geometry (53-XX) 121 Manifolds and cell complexes (57-XX) 116 Algebraic geometry (14-XX) 36 Several complex variables and analytic spaces (32-XX) 25 Category theory; homological algebra (18-XX) 22 Algebraic topology (55-XX) 19 Quantum theory (81-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Associative rings and algebras (16-XX) 6 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Biology and other natural sciences (92-XX)