Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds
Symplectic Geometry
2023-05-17 v2
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.
Keywords
Cite
@article{arxiv.2005.11096,
title = {Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds},
author = {Yaniv Ganor and Shira Tanny},
journal= {arXiv preprint arXiv:2005.11096},
year = {2023}
}
Comments
Corrected typos, added a section extending one of the results to certain open manifolds