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Homotopy rigidity for quasitoric manifolds over a product of d-simplices

Homotopy rigidity for quasitoric manifolds over a product of d-simplices
Homotopy rigidity for quasitoric manifolds over a product of d-simplices
For a fixed integer d ≥ 1, we show that two quasitoric manifolds over a product of d-simplices are homotopy equivalent after appropriate localization, provided that their integral cohomology rings are isomorphic.
quasitoric manifold, cohomological rigidity
0002-9939
Fu, Xin
1190b059-0a15-4312-8321-86b04f82fd36
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Song, Jongbaek
5b3b8aab-e45f-4cb7-a87c-e785ce6491d3
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Fu, Xin
1190b059-0a15-4312-8321-86b04f82fd36
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Song, Jongbaek
5b3b8aab-e45f-4cb7-a87c-e785ce6491d3
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Fu, Xin, So, Tseleung, Song, Jongbaek and Theriault, Stephen (2024) Homotopy rigidity for quasitoric manifolds over a product of d-simplices. Proceedings of the American Mathematical Society. (In Press)

Record type: Article

Abstract

For a fixed integer d ≥ 1, we show that two quasitoric manifolds over a product of d-simplices are homotopy equivalent after appropriate localization, provided that their integral cohomology rings are isomorphic.

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Homotopy rigidity_revision2 - Accepted Manuscript
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More information

Accepted/In Press date: 23 September 2024
Keywords: quasitoric manifold, cohomological rigidity

Identifiers

Local EPrints ID: 495648
URI: http://eprints.soton.ac.uk/id/eprint/495648
ISSN: 0002-9939
PURE UUID: fc865204-6420-44b2-9210-db6ac2ea3eb3
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 20 Nov 2024 17:34
Last modified: 21 Nov 2024 02:45

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Contributors

Author: Xin Fu
Author: Tseleung So
Author: Jongbaek Song

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