Volume 21, issue 1 (2021)

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On cobordism maps on periodic Floer homology

Guanheng Chen

Algebraic & Geometric Topology 21 (2021) 1–103
Bibliography
1 F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
2 V Colin, P Ghiggini, K Honda, The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions, I, (2012) arXiv:1208.1074
3 D Cristofaro-Gardiner, The absolute gradings on embedded contact homology and Seiberg–Witten Floer cohomology, Algebr. Geom. Topol. 13 (2013) 2239 MR3073915
4 S Donaldson, I Smith, Lefschetz pencils and the canonical class for symplectic four-manifolds, Topology 42 (2003) 743 MR1958528
5 C Gerig, Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms, preprint (2018) arXiv:1809.03405
6 C Gerig, Taming the pseudoholomorphic beasts in × (S1 × S2), Geom. Topol. 24 (2020) 1791 MR4173922
7 D Gilbarg, N S Trudinger, Elliptic partial differential equations of second order, 224, Springer (1977) MR0473443
8 R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
9 M Hutchings, An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. 4 (2002) 313 MR1941088
10 M Hutchings, The embedded contact homology index revisited, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lect. Notes 49, Amer. Math. Soc. (2009) 263 MR2555941
11 M Hutchings, Lecture notes on embedded contact homology, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 389 MR3220947
12 M Hutchings, Beyond ECH capacities, Geom. Topol. 20 (2016) 1085 MR3493100
13 M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders, I, J. Symplectic Geom. 5 (2007) 43 MR2371184
14 M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders, II, J. Symplectic Geom. 7 (2009) 29 MR2491716
15 M Hutchings, C H Taubes, The Weinstein conjecture for stable Hamiltonian structures, Geom. Topol. 13 (2009) 901 MR2470966
16 M Hutchings, C H Taubes, Proof of the Arnold chord conjecture in three dimensions, II, Geom. Topol. 17 (2013) 2601 MR3190296
17 I Kim, Almost-Kähler anti-self-dual metrics, PhD thesis, Stony Brook University (2014)
18 P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
19 Y J Lee, C H Taubes, Periodic Floer homology and Seiberg–Witten–Floer cohomology, J. Symplectic Geom. 10 (2012) 81 MR2904033
20 T J Li, A K Liu, The equivalence between SW and Gr in the case where b+ = 1, Int. Math. Res. Not. 1999 (1999) 335 MR1683312
21 D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
22 J Rooney, Cobordism maps in embedded contact homology, preprint (2019) arXiv:1912.01048
23 C H Taubes, SW Gr : from the Seiberg–Witten equations to pseudo-holomorphic curves, J. Amer. Math. Soc. 9 (1996) 845 MR1362874
24 C H Taubes, Counting pseudo-holomorphic submanifolds in dimension 4, J. Differential Geom. 44 (1996) 818 MR1438194
25 C H Taubes, Gr SW : from pseudo-holomorphic curves to Seiberg–Witten solutions, J. Differential Geom. 51 (1999) 203 MR1728301
26 C H Taubes, Gr = SW : counting curves and connections, J. Differential Geom. 52 (1999) 453 MR1761081
27 C H Taubes, The Seiberg–Witten equations and the Weinstein conjecture, II : More closed integral curves of the Reeb vector field, Geom. Topol. 13 (2009) 1337 MR2496048
28 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, I, Geom. Topol. 14 (2010) 2497 MR2746723
29 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, II, Geom. Topol. 14 (2010) 2583 MR2746724
30 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, III, Geom. Topol. 14 (2010) 2721 MR2746725
31 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, IV, Geom. Topol. 14 (2010) 2819 MR2746726
32 C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, V, Geom. Topol. 14 (2010) 2961 MR2746727
33 M Usher, Vortices and a TQFT for Lefschetz fibrations on 4–manifolds, Algebr. Geom. Topol. 6 (2006) 1677 MR2263047
34 C Wendl, Lectures on symplectic field theory, preprint (2016) arXiv:1612.01009