Abstract
We study the relation between spectral invariants of disjointly supported Hamiltonians and of their sum. On aspherical manifolds, such a relation was established by Humilière, Le Roux and Seyfad-dini. We show that a weaker statement holds in a wider setting, and derive applications to Polterovich’s Poisson bracket invariant and to Entov and Polterovich’s notion of superheavy sets.
| Original language | English |
|---|---|
| Pages (from-to) | 1159-1213 |
| Number of pages | 55 |
| Journal | Journal of Symplectic Geometry |
| Volume | 20 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2022 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology