English

On the infinite loop space structure of the cobordism category

Algebraic Topology 2017-03-22 v3

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.

Keywords

Cite

@article{arxiv.1505.03490,
  title  = {On the infinite loop space structure of the cobordism category},
  author = {Hoang Kim Nguyen},
  journal= {arXiv preprint arXiv:1505.03490},
  year   = {2017}
}

Comments

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