paper

Heavy sets and index bounded relative symplectic cohomology

arXiv:2206.00066 · doi:10.1007/s11784-024-01110-1

Abstract

We use relative symplectic cohomology to detect heavy sets, with the help of index bounded contact forms. This establishes a relation between two notions SH-heaviness and heaviness, which partly answers a conjecture of Dickstein-Ganor-Polterovich-Zapolsky in the symplectically aspherical setting.

major revision, see Remark 1.12