On the infinite loop space structure of the cobordism category

Abstract

We show an equivalence of infinite loop spaces between the classify- ing 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.

14 pages, 1 figure, rewritten introduction and corrected some errors in section 5

References in corpus (1)

• The cobordism category and Waldhausen's K-theory

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