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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Mod p homology of unordered configuration spaces of points in parallelizable surfac. / Chen, Matthew; Zhang, Adela Yiyu.

In: Proceedings of the American Mathematical Society, Vol. 152, No. 5, 2024, p. 2239-2248.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Chen, M & Zhang, AY 2024, 'Mod p homology of unordered configuration spaces of points in parallelizable surfac', Proceedings of the American Mathematical Society, vol. 152, no. 5, pp. 2239-2248. https://doi.org/10.1090/proc/16683

APA

Chen, M., & Zhang, A. Y. (2024). Mod p homology of unordered configuration spaces of points in parallelizable surfac. Proceedings of the American Mathematical Society, 152(5), 2239-2248. https://doi.org/10.1090/proc/16683

Vancouver

Chen M, Zhang AY. Mod p homology of unordered configuration spaces of points in parallelizable surfac. Proceedings of the American Mathematical Society. 2024;152(5):2239-2248. https://doi.org/10.1090/proc/16683

Author

Chen, Matthew ; Zhang, Adela Yiyu. / Mod p homology of unordered configuration spaces of points in parallelizable surfac. In: Proceedings of the American Mathematical Society. 2024 ; Vol. 152, No. 5. pp. 2239-2248.

Bibtex

@article{e9363a1daffc4818a5b218957469bbed,
title = "Mod p homology of unordered configuration spaces of points in parallelizable surfac",
abstract = "We provide a short proof that the dimensions of the mod p homology groups of the unordered configuration space Bk(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.",
author = "Matthew Chen and Zhang, {Adela Yiyu}",
note = "Publisher Copyright: {\textcopyright} 2024 American Mathematical Society. All rights reserved.",
year = "2024",
doi = "10.1090/proc/16683",
language = "English",
volume = "152",
pages = "2239--2248",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Mod p homology of unordered configuration spaces of points in parallelizable surfac

AU - Chen, Matthew

AU - Zhang, Adela Yiyu

N1 - Publisher Copyright: © 2024 American Mathematical Society. All rights reserved.

PY - 2024

Y1 - 2024

N2 - We provide a short proof that the dimensions of the mod p homology groups of the unordered configuration space Bk(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.

AB - We provide a short proof that the dimensions of the mod p homology groups of the unordered configuration space Bk(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.

U2 - 10.1090/proc/16683

DO - 10.1090/proc/16683

M3 - Journal article

AN - SCOPUS:85189794796

VL - 152

SP - 2239

EP - 2248

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -

ID: 388874627