The equivariant cobordism category
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The equivariant cobordism category. / Galatius, Søren; Szűcs, Gergely.
I: Journal of Topology, Bind 14, Nr. 1, 2021, s. 215-257.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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