English

Heavy sets and index bounded relative symplectic cohomology

Symplectic Geometry 2024-05-21 v2

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.

Keywords

Cite

@article{arxiv.2206.00066,
  title  = {Heavy sets and index bounded relative symplectic cohomology},
  author = {Yuhan Sun},
  journal= {arXiv preprint arXiv:2206.00066},
  year   = {2024}
}

Comments

major revision, see Remark 1.12