Publication: A characterization of heaviness in terms of relative symplectic cohomology
Program
KU-Authors
KU Authors
Co-Authors
Mak, Cheuk Yu
Sun, Yuhan
Publication Date
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Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
For a compact subset K$K$ of a closed symplectic manifold (M,omega)$(M, \omega)$, we prove that K$K$ is heavy if and only if its relative symplectic cohomology over the Novikov field is nonzero. As an application, we show that if two compact sets are not heavy and Poisson commuting, then their union is also not heavy. A discussion on superheaviness together with some partial results is also included.
Source
Publisher
Wiley
Subject
Mathematics
Citation
Has Part
Source
Journal of Topology
Book Series Title
Edition
DOI
10.1112/topo.12327