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arXiv · 2005.11096

Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds

Yaniv Ganor·Shira Tanny
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Abstract

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-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.

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Yaniv Ganor, Shira Tanny. 2020-05-22. Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds. https://doi.org/10.2140/agt.2023.23.645

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