Mod p homology of unordered configuration spaces of  points in parallelizable surfac

Matthew Chen; Adela Yiyu Zhang

doi:10.1090/proc/16683

Mod p homology of unordered configuration spaces of points in parallelizable surfac

Matthew Chen, Adela Yiyu Zhang

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

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Abstract

We provide a short proof that the dimensions of the mod p homology groups of the unordered configuration space B_k(T) of k points in a closed torus are the same as its Betti numbers for p > 2 and k ≤ p. Hence the integral homology has no p-power torsion in this range. The same argument works for the once-punctured genus g surface with g ≥ 0, thereby recovering a result of Brantner-Hahn-Knudsen via Lubin-Tate theory.

Originalsprog	Engelsk
Tidsskrift	Proceedings of the American Mathematical Society
Vol/bind	152
Udgave nummer	5
Sider (fra-til)	2239-2248
Antal sider	10
ISSN	0002-9939
DOI	https://doi.org/10.1090/proc/16683
Status	Udgivet - 2024

Bibliografisk note

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© 2024 American Mathematical Society. All rights reserved.

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Citationsformater

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