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2017 On the infinite loop space structure of the cobordism category
Hoang Kim Nguyen
Algebr. Geom. Topol. 17(2): 1021-1040 (2017). 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.

Citation

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Hoang Kim Nguyen. "On the infinite loop space structure of the cobordism category." Algebr. Geom. Topol. 17 (2) 1021 - 1040, 2017. https://doi.org/10.2140/agt.2017.17.1021

Information

Received: 21 December 2015; Revised: 1 July 2016; Accepted: 22 July 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 1380.55010
MathSciNet: MR3623680
Digital Object Identifier: 10.2140/agt.2017.17.1021

Subjects:
Primary: 55P47 , 57R56
Secondary: 57R90

Keywords: cobordism category , Madsen–Tillmann spectrum

Rights: Copyright © 2017 Mathematical Sciences Publishers

Vol.17 • No. 2 • 2017
MSP
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