The equivariant cobordism category
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- THE EQUIVARIANT COBORDISM CATEGORY
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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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Topology |
Vol/bind | 14 |
Udgave nummer | 1 |
Sider (fra-til) | 215-257 |
ISSN | 1753-8416 |
DOI | |
Status | Udgivet - 2021 |
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