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
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)
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
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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
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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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