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Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds

Yaniv Ganor and Shira Tanny

Algebraic & Geometric Topology 23 (2023) 645–732
Bibliography
1 A Abbondandolo, C Haug, F Schlenk, A simple construction of an action selector on aspherical symplectic manifolds, Enseign. Math. 65 (2019) 221 MR4057360
2 M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
3 M Audin, M Damian, Morse theory and Floer homology, Springer (2014) MR3155456
4 K Cieliebak, H Hofer, J Latschev, F Schlenk, Quantitative symplectic geometry, from: "Dynamics, ergodic theory, and geometry" (editor B Hasselblatt), Math. Sci. Res. Inst. Publ. 54, Cambridge Univ. Press (2007) 1 MR2369441
5 K Cieliebak, A Oancea, Symplectic homology and the Eilenberg–Steenrod axioms, Algebr. Geom. Topol. 18 (2018) 1953 MR3797062
6 B Dacorogna, J Moser, On a partial differential equation involving the Jacobian determinant, Ann. Inst. H. Poincaré C Anal. Non Linéaire 7 (1990) 1 MR1046081
7 M Entov, L Polterovich, Rigid subsets of symplectic manifolds, Compos. Math. 145 (2009) 773 MR2507748
8 A Floer, H Hofer, D Salamon, Transversality in elliptic Morse theory for the symplectic action, Duke Math. J. 80 (1995) 251 MR1360618
9 U Frauenfelder, F Schlenk, Hamiltonian dynamics on convex symplectic manifolds, Israel J. Math. 159 (2007) 1 MR2342472
10 A Hatcher, Vector bundles and K–theory, book manuscript (2017)
11 H Hofer, E Zehnder, Symplectic invariants and Hamiltonian dynamics, Birkhäuser (1994) MR2797558
12 V Humilière, F Le Roux, S Seyfaddini, Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces, Geom. Topol. 20 (2016) 2253 MR3548467
13 S Ishikawa, Spectral invariants of distance functions, J. Topol. Anal. 8 (2016) 655 MR3545016
14 D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2012) MR2954391
15 L Polterovich, Symplectic geometry of quantum noise, Comm. Math. Phys. 327 (2014) 481 MR3183407
16 L Polterovich, D Rosen, Function theory on symplectic manifolds, 34, Amer. Math. Soc. (2014) MR3241729
17 A F Ritter, Topological quantum field theory structure on symplectic cohomology, J. Topol. 6 (2013) 391 MR3065181
18 M Schwarz, On the action spectrum for closed symplectically aspherical manifolds, Pacific J. Math. 193 (2000) 419 MR1755825
19 S Seyfaddini, Spectral killers and Poisson bracket invariants, J. Mod. Dyn. 9 (2015) 51 MR3395260
20 A Cannas da Silva, Lectures on symplectic geometry, 1764, Springer (2001) MR1853077
21 M Usher, Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds, Israel J. Math. 184 (2011) 1 MR2823968
22 U Varolgunes, Mayer–Vietoris property for relative symplectic cohomology, Geom. Topol. 25 (2021) 547 MR4251433
23 C Viterbo, Functors and computations in Floer homology with applications, I, Geom. Funct. Anal. 9 (1999) 985 MR1726235
24 C Wendl, A beginner’s overview of symplectic homology, expository notes (2010)