Algebraic & Geometric Topology Volume 14, issue 6 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Towards the $C^0$ flux conjecture

Lev Buhovsky

Algebraic & Geometric Topology 14 (2014) 3493–3508

DOI: 10.2140/agt.2014.14.3493

Bibliography

1	A Banyaga, Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique, Comment. Math. Helv. 53 (1978) 174 MR490874
2	Y V Chekanov, Lagrangian intersections, symplectic energy, and areas of holomorphic curves, Duke Math. J. 95 (1998) 213 MR1646550
3	C C Conley, E Zehnder, The Birkhoff–Lewis fixed point theorem and a conjecture of V. I. Arnol'd, Invent. Math. 73 (1983) 33 MR707347
4	Y M Eliashberg, Rigidity of symplectic and contact structures, preprint (1981)
5	Y M Eliashberg, A theorem on the structure of wave fronts and its application in symplectic topology, Funktsional. Anal. i Prilozhen. 21 (1987) 65, 96 MR911776
6	A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513 MR965228
7	A Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989) 575 MR987770
8	K Fukaya, K Ono, Arnold conjecture and Gromov–Witten invariant, Topology 38 (1999) 933 MR1688434
9	K Fukaya, K Ono, Floer homology and Gromov–Witten invariant over $\mathbb{Z}$ of general symplectic manifolds—summary, from: "Taniguchi Conference on Mathematics Nara '98" (editors M Maruyama, T Sunada), Adv. Stud. Pure Math. 31, Math. Soc. Japan, Tokyo (2001) 75 MR1865088
10	M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
11	H Hofer, D A Salamon, Floer homology and Novikov rings, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser, Basel (1995) 483 MR1362838
12	F Lalonde, D McDuff, L Polterovich, On the flux conjectures, from: "Geometry, topology, and dynamics" (editor F Lalonde), CRM Proc. Lecture Notes 15, Amer. Math. Soc. (1998) 69 MR1619124
13	G Liu, G Tian, Floer homology and Arnold conjecture, J. Differential Geom. 49 (1998) 1 MR1642105
14	D McDuff, Symplectic diffeomorphisms and the flux homomorphism, Invent. Math. 77 (1984) 353 MR752824
15	Y G Oh, S Müller, The group of Hamiltonian homeomorphisms and $C^0$–symplectic topology, J. Symplectic Geom. 5 (2007) 167 MR2377251
16	K Ono, On the Arnol'd conjecture for weakly monotone symplectic manifolds, Invent. Math. 119 (1995) 519 MR1317649
17	K Ono, Floer–Novikov cohomology and the flux conjecture, Geom. Funct. Anal. 16 (2006) 981 MR2276532
18	Y Ruan, Virtual neighborhoods and pseudo-holomorphic curves, from: "Proceedings of 6th Gökova Geometry–Topology Conference" (editors S Akbulut, T Ander, R J Stern) (1999) 161 MR1701645
19	P Seidel, Abstract analogues of flux as symplectic invariants, arXiv:1108.0394
20	P Seidel, Lectures on categorical dynamics and symplectic topology, lecture notes
21	S Seyfaddini, A note on $C^0$ rigidity of Hamiltonian isotopies, J. Symplectic Geom. 11 (2013) 489 MR3100803