Fukaya, Kenji Homological algebra and moduli spaces in topological field theories. arXiv:2308.06799 Preprint, arXiv:2308.06799 [math.SG] (2023). MSC: 53D37 57R56 57R58 57K31 BibTeX Cite \textit{K. Fukaya}, ``Homological algebra and moduli spaces in topological field theories'', Preprint, arXiv:2308.06799 [math.SG] (2023) Full Text: arXiv OA License
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Kuranishi structures and virtual fundamental chains. (English) Zbl 1482.53002 Springer Monographs in Mathematics. Singapore: Springer (ISBN 978-981-15-5561-9/hbk; 978-981-15-5564-0/pbk; 978-981-15-5562-6/ebook). xv, 638 p. (2020). Reviewer: Manuel de León (Madrid) MSC: 53-02 53D45 53D37 57R17 57R18 58J10 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Kuranishi structures and virtual fundamental chains. Singapore: Springer (2020; Zbl 1482.53002) Full Text: DOI
Morgan, John W. (ed.) [McDuff; Dusa; Tehrani, Mohammad; Fukaya, Kenji; Joyce; Dominic] Virtual fundamental cycles in symplectic topology. (English) Zbl 1416.53077 Mathematical Surveys and Monographs 237. Providence, RI: American Mathematical Society (AMS); Stony Brook, NY: Simons Center for Geometry and Physics (ISBN 978-1-4704-5014-4/hbk; 978-1-4704-5202-5/ebook). xv, 298 p. (2019). MSC: 53D45 53D37 58J10 57R17 57R18 00B15 PDFBibTeX XMLCite \textit{J. W. Morgan} (ed.), Virtual fundamental cycles in symplectic topology. Providence, RI: American Mathematical Society (AMS); Stony Brook, NY: Simons Center for Geometry and Physics (2019; Zbl 1416.53077) Full Text: DOI
Daemi, Aliakbar; Fukaya, Kenji Atiyah-Floer conjecture: a formulation, a strategy of proof and generalizations. (English) Zbl 1448.57034 Muñoz, Vicente (ed.) et al., Modern geometry. A celebration of the work of Simon Donaldson. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 99, 23-57 (2018). MSC: 57R58 53D40 53D37 57R57 PDFBibTeX XMLCite \textit{A. Daemi} and \textit{K. Fukaya}, Proc. Symp. Pure Math. 99, 23--57 (2018; Zbl 1448.57034) Full Text: DOI arXiv
Fukaya, Kenji Categorification of invariants in gauge theory and symplectic geometry. (English) Zbl 1394.57030 Jpn. J. Math. (3) 13, No. 1, 1-65 (2018). Reviewer: Roman Golovko (Bruxelles) MSC: 57R58 57R57 57R56 53D37 53D40 PDFBibTeX XMLCite \textit{K. Fukaya}, Jpn. J. Math. (3) 13, No. 1, 1--65 (2018; Zbl 1394.57030) Full Text: DOI arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Antisymplectic involution and Floer cohomology. (English) Zbl 1359.53069 Geom. Topol. 21, No. 1, 1-106 (2017). MSC: 53D40 53D45 14J33 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Geom. Topol. 21, No. 1, 1--106 (2017; Zbl 1359.53069) Full Text: DOI arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Lagrangian Floer theory and mirror symmetry on compact toric manifolds. (English) Zbl 1344.53001 Astérisque 376. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-825-1/pbk). vi, 340 p. (2016). Reviewer: Nicoleta Aldea (Brasov) MSC: 53-02 53D37 53D40 53D45 14M25 37J05 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Paris: Société Mathématique de France (SMF) (2016; Zbl 1344.53001) Full Text: arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves. arXiv:1603.07026 Preprint, arXiv:1603.07026 [math.SG] (2016). MSC: 53D37 53D40 53D45 BibTeX Cite \textit{K. Fukaya} et al., ``Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves'', Preprint, arXiv:1603.07026 [math.SG] (2016) Full Text: arXiv OA License
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Lagrangian Floer theory on compact toric manifolds: survey. (English) Zbl 1382.53001 Cao, Huai-Dong (ed.) et al., In memory of C. C. Hsiung. Lectures given at the JDG symposium on geometry and topology, Lehigh University, Bethlehem, PA, USA, May 28–30, 2010. Somerville, MA: International Press (ISBN 978-1-57146-237-4/hbk). Surveys in Differential Geometry 17, 229-298 (2012). Reviewer: Siu Cheong Lau (Boston) (MR3076063) MSC: 53-02 53D37 53D40 53D12 53D45 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Surv. Differ. Geom. 17, 229--298 (2012; Zbl 1382.53001) Full Text: arXiv
Fukaya, Kenji Counting pseudo-holomorphic discs in Calabi-Yau 3-holds. (English) Zbl 1244.57046 Tohoku Math. J. (2) 63, No. 4, Centen. Iss., 697-727 (2011). Reviewer: Andrew Bucki (Edmond) MSC: 57R17 81T30 53D45 32Q25 32Q65 PDFBibTeX XMLCite \textit{K. Fukaya}, Tôhoku Math. J. (2) 63, No. 4, 697--727 (2011; Zbl 1244.57046) Full Text: DOI arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Lagrangian Floer theory on compact toric manifolds. I. (English) Zbl 1190.53078 Duke Math. J. 151, No. 1, 23-175 (2010). Reviewer: Tan VoVan (Suffolk) MSC: 53D12 53D40 14J45 14J32 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Duke Math. J. 151, No. 1, 23--175 (2010; Zbl 1190.53078) Full Text: DOI arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Lagrangian intersection Floer theory. Anomaly and obstruction. II. (English) Zbl 1181.53003 AMS/IP Studies in Advanced Mathematics 46,2. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4837-1/hbk). xii, 397-805. (2009). Reviewer: Andrew Bucki (Edmond) MSC: 53-02 53D40 53D12 14J32 18D50 55P62 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Lagrangian intersection Floer theory. Anomaly and obstruction. II. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (2009; Zbl 1181.53003)
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Lagrangian intersection Floer theory. Anomaly and obstruction. I. (English) Zbl 1181.53002 AMS/IP Studies in Advanced Mathematics 46,1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4836-4/hbk). xii, 396 p. (2009). Reviewer: Andrew Bucki (Edmond) MSC: 53-02 53D40 53D12 14J32 18D50 55P62 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Lagrangian intersection Floer theory. Anomaly and obstruction. I. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (2009; Zbl 1181.53002)
Fukaya, Kenji Symplectic geometry. (Japanese) Zbl 1403.53001 Tokyo: Iwanami (ISBN 978-4-00-005462-1). 414 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53-01 53D05 53D37 53D30 PDFBibTeX XMLCite \textit{K. Fukaya}, Symplectic geometry (Japanese). Tokyo: Iwanami (2008; Zbl 1403.53001)
Oh, Yong-Geun; Fukaya, Kenji Floer homology in symplectic geometry and in mirror symmetry. (English) Zbl 1107.53060 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 879-905 (2006). Reviewer: Weiping Li (Stillwater) MSC: 53D40 14J32 53D12 PDFBibTeX XMLCite \textit{Y.-G. Oh} and \textit{K. Fukaya}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 879--905 (2006; Zbl 1107.53060) Full Text: arXiv
Fukaya, Kenji Galois symmetry on Floer cohomology. (English) Zbl 1075.53090 Turk. J. Math. 27, No. 1, 11-32 (2003). Reviewer: Vicente Muñoz (Madrid) MSC: 53D40 57R57 PDFBibTeX XMLCite \textit{K. Fukaya}, Turk. J. Math. 27, No. 1, 11--32 (2003; Zbl 1075.53090)
Fukaya, Kenji Mirror symmetry of abelian varieties and multi-theta functions. (English) Zbl 1002.14014 J. Algebr. Geom. 11, No. 3, 393-512 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 14J32 14K20 14K25 53D05 53D12 PDFBibTeX XMLCite \textit{K. Fukaya}, J. Algebr. Geom. 11, No. 3, 393--512 (2002; Zbl 1002.14014) Full Text: DOI
Fukaya, Kenji Floer homology and mirror symmetry. I. (English) Zbl 1015.53057 Vafa, Cumrun (ed.) et al., Winter school on mirror symmetry, vector bundles and Lagrangian submanifolds. Proceedings of the winter school on mirror symmetry, Cambridge, MA, USA, January 1999. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 23, 15-43 (2001). Reviewer: John F.Oprea (Cleveland) MSC: 53D40 53D12 57R58 14J32 53D45 PDFBibTeX XMLCite \textit{K. Fukaya}, AMS/IP Stud. Adv. Math. 23, 15--43 (2001; Zbl 1015.53057)