Geodesic
Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds
Ganor, Yaniv1 ; Tanny, Shira2
1 Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel
2 School of Mathematics, Institute for Advanced Study, Princeton, NJ, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 645-732

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We study the Floer-theoretic interaction between disjointly supported Hamiltonians by comparing Floer-theoretic invariants of these Hamiltonians with the ones of their sum. These invariants include spectral invariants, boundary depth and Abbondandolo, Haug and Schlenk’s action selector. Additionally, our method shows that in certain situations, the spectral invariants of a Hamiltonian supported in an open subset of a symplectic manifold are independent of the ambient manifold.

DOI : 10.2140/agt.2023.23.645
Keywords: symplectic geometry, symplectic topology, Floer theory, Floer homology, disjointly supported Hamiltonians, locality in Floer theory, spectral invariants, boundary depth, Schwarz capacity, action selectors, max formula, superheavy sets

Ganor, Yaniv 1 ; Tanny, Shira 2

1 Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel
2 School of Mathematics, Institute for Advanced Study, Princeton, NJ, United States 
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Ganor, Yaniv; Tanny, Shira. Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds. Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 645-732. doi: 10.2140/agt.2023.23.645

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