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
151-160
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
June 2022
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), .
(doi:10.1134/S0081543822020080).
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.
Text
Conn sum plus revised
- Accepted Manuscript
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
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Date deposited: 06 Jul 2022 17:07
Last modified: 06 Jun 2024 04:05
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