Mak, C.Y. orcid.org/0000-0001-6334-7114, Sun, Y. orcid.org/0000-0002-0984-3704 and Varolgunes, U. orcid.org/0000-0002-0090-9420 (2024) A characterization of heaviness in terms of relative symplectic cohomology. Journal of Topology, 17 (1). e12327. ISSN 1753-8416
Abstract
<jats:title>Abstract</jats:title><jats:p>For a compact subset of a closed symplectic manifold , we prove that 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.</jats:p>
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Authors. Journal of Topology is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. http://creativecommons.org/licenses/by/4.0/ |
Keywords: | 4902 Mathematical Physics; 4904 Pure Mathematics; 49 Mathematical Sciences |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 01 Nov 2024 10:07 |
Last Modified: | 01 Nov 2024 10:07 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1112/topo.12327 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:219035 |