Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds
arXiv:2005.11096 · doi:10.2140/agt.2023.23.645
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.
arXiv commentCorrected typos, added a section extending one of the results to certain open manifolds
References in corpus (10)
- Functors and Computations in Floer homology with Applications Part II
- Rigid subsets of symplectic manifolds
- An open string analogue of Viterbo functoriality
- Topological quantum field theory structure on symplectic cohomology
- Symplectic homology and the Eilenberg-Steenrod axioms
- Symplectic geometry of quantum noise
- Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
- Mayer-Vietoris property for relative symplectic cohomology
- Spectral killers and Poisson bracket invariants
- A simple construction of an action selector on aspherical symplectic manifolds