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Polyhedral products for connected sums of simplicial complexes

Polyhedral products for connected sums of simplicial complexes
Polyhedral products for connected sums of simplicial complexes

Abstract: We investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial complexes. This is obtained as a consequence of a more general result that considers how the homotopy type of a polyhedral product changes under the operation of gluing two simplicial complexes together along a common full subcomplex.

polyhedral product, simplicial complex, connected sum
0081-5438
151-160
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Theriault, Stephen (2022) Polyhedral products for connected sums of simplicial complexes. Proceedings of the Steklov Institute of Mathematics, 317 (1), 151-160. (doi:10.1134/S0081543822020080).

Record type: Article

Abstract

Abstract: We investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial complexes. This is obtained as a consequence of a more general result that considers how the homotopy type of a polyhedral product changes under the operation of gluing two simplicial complexes together along a common full subcomplex.

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Conn sum plus revised - Accepted Manuscript
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More information

Accepted/In Press date: 19 May 2022
Published date: June 2022
Additional Information: Funding Information: The author would like to thank Jelena Grbić and George Simmons for helpful discussions, and would like to thank the referee for suggesting improvements. Publisher Copyright: © 2022, Pleiades Publishing, Ltd.
Keywords: polyhedral product, simplicial complex, connected sum

Identifiers

Local EPrints ID: 467337
URI: http://eprints.soton.ac.uk/id/eprint/467337
ISSN: 0081-5438
PURE UUID: 2ee99afc-ee01-4d1b-8a5a-3ff089f71c14
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

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Date deposited: 06 Jul 2022 17:07
Last modified: 06 Jun 2024 04:05

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