We show an equivalence of infinite loop spaces between the classifying space of the cobordism category with infinite loop space structure induced by taking disjoint union of manifolds and the infinite loop space associated to the Madsen–Tillmann spectrum.
Keywords: cobordism category, Madsen–Tillmann spectrum
Nguyen, Hoang Kim  1
@article{10_2140_agt_2017_17_1021,
author = {Nguyen, Hoang Kim},
title = {On the infinite loop space structure of the cobordism category},
journal = {Algebraic and Geometric Topology},
pages = {1021--1040},
year = {2017},
volume = {17},
number = {2},
doi = {10.2140/agt.2017.17.1021},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.1021/}
}
TY - JOUR AU - Nguyen, Hoang Kim TI - On the infinite loop space structure of the cobordism category JO - Algebraic and Geometric Topology PY - 2017 SP - 1021 EP - 1040 VL - 17 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.1021/ DO - 10.2140/agt.2017.17.1021 ID - 10_2140_agt_2017_17_1021 ER -
Nguyen, Hoang Kim. On the infinite loop space structure of the cobordism category. Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 1021-1040. doi: 10.2140/agt.2017.17.1021
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