The equivariant cobordism category

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Standard

The equivariant cobordism category. / Galatius, Søren; Szűcs, Gergely.

In: Journal of Topology, Vol. 14, No. 1, 2021, p. 215-257.

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

Harvard

Galatius, S & Szűcs, G 2021, 'The equivariant cobordism category', Journal of Topology, vol. 14, no. 1, pp. 215-257. https://doi.org/10.1112/topo.12181

APA

Galatius, S., & Szűcs, G. (2021). The equivariant cobordism category. Journal of Topology, 14(1), 215-257. https://doi.org/10.1112/topo.12181

Vancouver

Galatius S, Szűcs G. The equivariant cobordism category. Journal of Topology. 2021;14(1):215-257. https://doi.org/10.1112/topo.12181

Author

Galatius, Søren ; Szűcs, Gergely. / The equivariant cobordism category. In: Journal of Topology. 2021 ; Vol. 14, No. 1. pp. 215-257.

Bibtex

@article{81189b8e1adf447f86954a1dcbba3a82,
title = "The equivariant cobordism category",
abstract = "For a finite group 퐺 , we define an equivariant cobordism category 풞퐺푑 . Objects of the category are (푑−1) ‐dimensional closed smooth 퐺 ‐manifolds and morphisms are smooth 푑 ‐dimensional equivariant cobordisms. We identify the homotopy type of its classifying space (that is, geometric realization of its simplicial nerve) as the fixed points of the infinite loop space of a certain equivariant Thom spectrum.",
author = "S{\o}ren Galatius and Gergely Sz{\H u}cs",
year = "2021",
doi = "10.1112/topo.12181",
language = "English",
volume = "14",
pages = "215--257",
journal = "Journal of Topology",
issn = "1753-8416",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - The equivariant cobordism category

AU - Galatius, Søren

AU - Szűcs, Gergely

PY - 2021

Y1 - 2021

N2 - For a finite group 퐺 , we define an equivariant cobordism category 풞퐺푑 . Objects of the category are (푑−1) ‐dimensional closed smooth 퐺 ‐manifolds and morphisms are smooth 푑 ‐dimensional equivariant cobordisms. We identify the homotopy type of its classifying space (that is, geometric realization of its simplicial nerve) as the fixed points of the infinite loop space of a certain equivariant Thom spectrum.

AB - For a finite group 퐺 , we define an equivariant cobordism category 풞퐺푑 . Objects of the category are (푑−1) ‐dimensional closed smooth 퐺 ‐manifolds and morphisms are smooth 푑 ‐dimensional equivariant cobordisms. We identify the homotopy type of its classifying space (that is, geometric realization of its simplicial nerve) as the fixed points of the infinite loop space of a certain equivariant Thom spectrum.

U2 - 10.1112/topo.12181

DO - 10.1112/topo.12181

M3 - Journal article

VL - 14

SP - 215

EP - 257

JO - Journal of Topology

JF - Journal of Topology

SN - 1753-8416

IS - 1

ER -

ID: 257967348