A characterization of heaviness in terms of relative symplectic cohomology
A characterization of heaviness in terms of relative symplectic cohomology
For a compact subset K of a closed symplectic manifold (M, ω), we prove that K is heavy if and only if its relative symplectic cohomology over the Novikov field is non-zero. 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 are also included.
Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Sun, Yuhan
467fdd59-6169-4ace-a994-85cb86c58276
Varolgunes, Umut
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Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Sun, Yuhan
467fdd59-6169-4ace-a994-85cb86c58276
Varolgunes, Umut
c617015d-85e4-45e4-b385-d1c567c1b613
Mak, Cheuk Yu, Sun, Yuhan and Varolgunes, Umut
(2024)
A characterization of heaviness in terms of relative symplectic cohomology.
Journal of Topology.
(In Press)
Abstract
For a compact subset K of a closed symplectic manifold (M, ω), we prove that K is heavy if and only if its relative symplectic cohomology over the Novikov field is non-zero. 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 are also included.
Text
2301.12625
- Accepted Manuscript
More information
Accepted/In Press date: 2 February 2024
Identifiers
Local EPrints ID: 486787
URI: http://eprints.soton.ac.uk/id/eprint/486787
ISSN: 1753-8416
PURE UUID: 875a9ef5-f859-4c76-8cdc-8138471957ab
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Date deposited: 06 Feb 2024 17:38
Last modified: 18 Mar 2024 05:03
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Contributors
Author:
Cheuk Yu Mak
Author:
Yuhan Sun
Author:
Umut Varolgunes
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