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

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
On the cohomology ring of symplectic fillings

Zhengyi Zhou

Algebraic & Geometric Topology 23 (2023) 1693–1724
Bibliography
1 M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
2 P Albers, U Frauenfelder, A Oancea, Local systems on the free loop space and finiteness of the Hofer–Zehnder capacity, Math. Ann. 367 (2017) 1403 MR3623229
3 J F Barraud, O Cornea, Lagrangian intersections and the Serre spectral sequence, Ann. of Math. 166 (2007) 657 MR2373371
4 K Barth, H Geiges, K Zehmisch, The diffeomorphism type of symplectic fillings, J. Symplectic Geom. 17 (2019) 929 MR4031531
5 R Bott, L W Tu, Differential forms in algebraic topology, 82, Springer (1982) MR658304
6 F Bourgeois, A Oancea, An exact sequence for contact- and symplectic homology, Invent. Math. 175 (2009) 611 MR2471597
7 F Bourgeois, A Oancea, Symplectic homology, autonomous Hamiltonians, and Morse–Bott moduli spaces, Duke Math. J. 146 (2009) 71 MR2475400
8 K Cieliebak, Y Eliashberg, From Stein to Weinstein and back, 59, Amer. Math. Soc. (2012) MR3012475
9 K Cieliebak, A Oancea, Symplectic homology and the Eilenberg–Steenrod axioms, Algebr. Geom. Topol. 18 (2018) 1953 MR3797062
10 R L Cohen, J D S Jones, G B Segal, Floer’s infinite-dimensional Morse theory and homotopy theory, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 297 MR1362832
11 B Filippenko, K Wehrheim, A polyfold proof of the Arnold conjecture, Selecta Math. 28 (2022) 11 MR4346508
12 J Fish, H Hofer, Applications of polyfold theory, II : The polyfolds of symplectic field theory, in preparation
13 M Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
14 L Guijarro, T Schick, G Walschap, Bundles with spherical Euler class, Pacific J. Math. 207 (2002) 377 MR1972251
15 H Hofer, K Wysocki, E Zehnder, Integration theory on the zero sets of polyfold Fredholm sections, Math. Ann. 346 (2010) 139 MR2558891
16 H Hofer, K Wysocki, E Zehnder, Polyfold and Fredholm theory, 72, Springer (2021) MR4298268
17 M Hutchings, J Nelson, Axiomatic S1 Morse–Bott theory, Algebr. Geom. Topol. 20 (2020) 1641 MR4127081
18 O Lazarev, Contact manifolds with flexible fillings, Geom. Funct. Anal. 30 (2020) 188 MR4081058
19 P Massot, K Niederkrüger, C Wendl, Weak and strong fillability of higher dimensional contact manifolds, Invent. Math. 192 (2013) 287 MR3044125
20 D McDuff, The structure of rational and ruled symplectic 4–manifolds, J. Amer. Math. Soc. 3 (1990) 679 MR1049697
21 D McDuff, Symplectic manifolds with contact type boundaries, Invent. Math. 103 (1991) 651 MR1091622
22 A Oancea, C Viterbo, On the topology of fillings of contact manifolds and applications, Comment. Math. Helv. 87 (2012) 41 MR2874896
23 A F Ritter, Topological quantum field theory structure on symplectic cohomology, J. Topol. 6 (2013) 391 MR3065181
24 P Seidel, A biased view of symplectic cohomology, from: "Current developments in mathematics, 2006" (editors B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International (2008) 211 MR2459307
25 G Walschap, The Euler class as a cohomology generator, Illinois J. Math. 46 (2002) 165 MR1936082
26 K Wehrheim, Fredholm notions in scale calculus and Hamiltonian Floer theory, preprint (2012) arXiv:1209.4040
27 K Wehrheim, Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing, from: "Proceedings of the Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom. Topol. Publ. (2012) 369 MR3084244
28 Z Zhou, Morse–Bott cohomology from homological perturbation theory, preprint (2019) arXiv:1902.06587
29 Z Zhou, Vanishing of symplectic homology and obstruction to flexible fillability, Int. Math. Res. Not. 2020 (2020) 9717 MR4182808
30 Z Zhou, Symplectic fillings of asymptotically dynamically convex manifolds, I, J. Topol. 14 (2021) 112 MR4186135
31 Z Zhou, Symplectic fillings of asymptotically dynamically convex manifolds, II : k–dilations, Adv. Math. 406 (2022) 108522 MR4438065