Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds

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.

Corrected typos, added a section extending one of the results to certain open manifolds

References in corpus (1)

• A simple construction of an action selector on aspherical symplectic manifolds

Cited by in corpus (1)

• The spectral diameter of a Liouville domain