On the infinite loop space structure of the cobordism category

Nguyen, Hoang Kim

doi:10.2140/agt.2017.17.1021

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On the infinite loop space structure of the cobordism category

Hoang Kim Nguyen

Algebraic & Geometric Topology 17 (2017) 1021–1040

DOI: 10.2140/agt.2017.17.1021

Abstract

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

Mathematical Subject Classification 2010

Primary: 55P47, 57R56

Secondary: 57R90

References

Publication

Received: 21 December 2015

Revised: 1 July 2016

Accepted: 22 July 2016

Published: 14 March 2017

Authors

Hoang Kim Nguyen
Fakultät für Mathematik Universität Regensburg D-93040 Regensburg Germany

Volume 17, issue 2 (2017)