Volume 21, issue 1 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Antisymplectic involution and Floer cohomology

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono

Geometry & Topology 21 (2017) 1–106
Bibliography
1 D Auroux, Mirror symmetry and T–duality in the complement of an anticanonical divisor, J. Gökova Geom. Topol. 1 (2007) 51 MR2386535
2 R Castaño-Bernard, D Matessi, J P Solomon, Symmetries of Lagrangian fibrations, Adv. Math. 225 (2010) 1341 MR2673733
3 C H Cho, Holomorphic discs, spin structures, and Floer cohomology of the Clifford torus, Int. Math. Res. Not. 2004 (2004) 1803 MR2057871
4 K Fukaya, Morse homotopy and its quantization, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 409 MR1470740
5 K Fukaya, Counting pseudo-holomorphic discs in Calabi–Yau 3–folds, Tohoku Math. J. 63 (2011) 697 MR2872962
6 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, preprint (2000)
7 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, preprint (2006)
8 K Fukaya, Y G Oh, H Ohta, K Ono, Canonical models of filtered A–algebras and Morse complexes, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 201 MR2555938
9 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, Part I, 46, Amer. Math. Soc. (2009) MR2553465
10 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, Part II, 46, Amer. Math. Soc. (2009) MR2548482
11 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian Floer theory on compact toric manifolds, I, Duke Math. J. 151 (2010) 23 MR2573826
12 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian Floer theory on compact toric manifolds, II : bulk deformations, Selecta Math. 17 (2011) 609 MR2827178
13 K Fukaya, Y G Oh, H Ohta, K Ono, Technical details on Kuranishi structure and virtual fundamental chain, preprint (2012) arXiv:1209.4410
14 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian Floer theory over integers : spherically positive symplectic manifolds, Pure Appl. Math. Q. 9 (2013) 189 MR3138477
15 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian Floer theory and mirror symmetry on compact toric manifolds, 376, Société Mathématique de France (2016) MR3460884
16 K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
17 Y G Oh, Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks, I, II, Comm. Pure Appl. Math. 46 (1993) 949, 995 MR1223659
18 Y G Oh, Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, Internat. Math. Res. Notices (1996) 305 MR1389956
19 H Ohta, Obstruction to and deformation of Lagrangian intersection Floer cohomology, from: "Symplectic geometry and mirror symmetry" (editors K Fukaya, Y G Oh, K Ono, G Tian), World Sci. Publ. (2001) 281 MR1882333
20 R Pandharipande, J Solomon, J Walcher, Disk enumeration on the quintic 3–fold, J. Amer. Math. Soc. 21 (2008) 1169 MR2425184
21 V de Silva, Products in the symplectic Floer homology of Lagrangian intersections, PhD thesis, Oxford University (1988)
22 J P Solomon, Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions, PhD thesis, Massachusetts Institute of Technology (2006)
23 J Walcher, Opening mirror symmetry on the quintic, Comm. Math. Phys. 276 (2007) 671 MR2350434
24 J Y Welschinger, Invariants of real symplectic 4–manifolds and lower bounds in real enumerative geometry, Invent. Math. 162 (2005) 195 MR2198329