Hamiltonian torus actions and the unimodality of odd Betti numbers

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Bibliographic Details
Main Author:	Lindsay, Nicholas
Format:	Preprint
Published:	2025
Subjects:	Symplectic Geometry
Online Access:	Acceder al recurso
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_version_	1866913960300642304
author	Lindsay, Nicholas
author_facet	Lindsay, Nicholas
contents	This paper is dedicated to the question: Is the sequence of odd and even Betti numbers of a closed symplectic manifold with a non-trivial Hamiltonian torus action unimodal? Recently, there was some progress on the question for the sequence of even Betti numbers by Cho-Kim and the author. The results of this paper give positive evidence in the case of odd Betti numbers, in dimensions $6,8$ and $10$ under progressively stronger symmetry assumptions.
format	Preprint
id	arxiv_https___arxiv_org_abs_2507_19601
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Hamiltonian torus actions and the unimodality of odd Betti numbers Lindsay, Nicholas Symplectic Geometry This paper is dedicated to the question: Is the sequence of odd and even Betti numbers of a closed symplectic manifold with a non-trivial Hamiltonian torus action unimodal? Recently, there was some progress on the question for the sequence of even Betti numbers by Cho-Kim and the author. The results of this paper give positive evidence in the case of odd Betti numbers, in dimensions $6,8$ and $10$ under progressively stronger symmetry assumptions.
title	Hamiltonian torus actions and the unimodality of odd Betti numbers
topic	Symplectic Geometry
url	https://arxiv.org/abs/2507.19601

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