Swiss-cheese action on the totalization of operads under the monoid actions actions operad
Algebraic Topology
2016-07-20 v1
Abstract
We prove that if a pair of semi-cosimplicial spaces (X,Y) arise from a coloured operad then the semi-totalization sTot(Y) has the homotopy type of a relative double loop space and the pair (sTot(X),sTot(Y)) is weakly equivalent to an explicit algebra over the two dimensional Swiss-cheese operad.
Keywords
Cite
@article{arxiv.1410.3236,
title = {Swiss-cheese action on the totalization of operads under the monoid actions actions operad},
author = {J. Ducoulombier},
journal= {arXiv preprint arXiv:1410.3236},
year = {2016}
}
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29 pages