Volume 20, issue 2 (2016)

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

Volume 23, 1 issue

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
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Other MSP Journals
Counting genus-zero real curves in symplectic manifolds

Mohammad Farajzadeh Tehrani

Appendix: Aleksey Zinger

Geometry & Topology 20 (2016) 629–695
Bibliography
1 M Aganagic, A Klemm, C Vafa, Disk instantons, mirror symmetry and the duality web, Z. Naturforsch. A 57 (2002) 1 MR1906661
2 M F Atiyah, R Bott, The moment map and equivariant cohomology, Topology 23 (1984) 1 MR721448
3 R Crétois, Déterminant des opérateurs de Cauchy–Riemann réels et application á l’orientabilité d’espaces de modules de courbes réelles, preprint (2013) arXiv:1207.4771v2
4 R Crétois, Real bundle automorphisms, Cauchy–Riemann operators and orientability of moduli spaces, preprint (2014) arXiv:1309.3110v2
5 M Farajzadeh Tehrani, Open Gromov–Witten theory on symplectic manifolds and symplectic cutting, Adv. Math. 232 (2013) 238 MR2989982
6 K Fukaya, Counting pseudo-holomorphic discs in Calabi–Yau 3–folds, Tohoku Math. J. 63 (2011) 697 MR2872962
7 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory : anomaly and obstruction, II, 46, Amer. Math. Soc. (2009) MR2548482
8 K Fukaya, Y G Oh, H Ohta, K Ono, Anti-symplectic involution and Floer cohomology, preprint (2014) arXiv:0912.2646v3
9 K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
10 P Georgieva, Open Gromov–Witten disk invariants in the presence of an anti-symplectic involution, preprint (2013) arXiv:1306.5019
11 P Georgieva, The orientability problem in open Gromov–Witten theory, Geom. Topol. 17 (2013) 2485 MR3110584
12 P Georgieva, A Zinger, Enumeration of real curves in ℂℙ2n1 and a WDVV relation for real Gromov–Witten invariants, preprint (2013) arXiv:1309.4079
13 P Georgieva, A Zinger, The moduli space of maps with crosscaps: the relative signs of the natural automorphisms, preprint (2013) arXiv:1308.1345
14 P Georgieva, A Zinger, A recursion for counts of real curves in ℂℙ2n1 : another proof, preprint (2014) arXiv:1401.1750
15 P Georgieva, A Zinger, The moduli space of maps with crosscaps : Fredholm theory and orientability, Comm. Anal. Geom. 23 (2015) 499 MR3310524
16 M Gross, D Huybrechts, D Joyce, Calabi–Yau manifolds and related geometries, Springer (2003) MR1963559
17 K Hori, S Katz, A Klemm, R Pandharipande, R Thomas, C Vafa, R Vakil, E Zaslow, Mirror symmetry, 1, Amer. Math. Soc. (2003) MR2003030
18 S Katz, C C M Liu, Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc, Adv. Theor. Math. Phys. 5 (2001) 1 MR1894336
19 J M F Labastida, M Mariño, C Vafa, Knots, links and branes at large N, J. High Energy Phys. (2000) 42 MR1806596
20 J Li, G Tian, Virtual moduli cycles and Gromov–Witten invariants of algebraic varieties, J. Amer. Math. Soc. 11 (1998) 119 MR1467172
21 D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
22 H Ooguri, C Vafa, Knot invariants and topological strings, Nuclear Phys. B 577 (2000) 419 MR1765411
23 R Pandharipande, J Solomon, J Walcher, Disk enumeration on the quintic 3–fold, J. Amer. Math. Soc. 21 (2008) 1169 MR2425184
24 A Popa, A Zinger, Mirror symmetry for closed, open, and unoriented Gromov–Witten invariants, Adv. Math. 259 (2014) 448 MR3197664
25 Y Ruan, G Tian, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995) 259 MR1366548
26 J P Solomon, Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions, PhD thesis, Massachusetts Institute of Technology (2006) MR2717339
27 J Y Welschinger, Open Gromov–Witten invariants in dimension four, preprint (2013) arXiv:1110.2705v2
28 J Y Welschinger, Open Gromov–Witten invariants in dimension six, Math. Ann. 356 (2013) 1163 MR3063910
29 E Witten, Chern–Simons gauge theory as a string theory, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 637 MR1362846