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arXiv · 1410.3236

Swiss-cheese action on the totalization of operads under the monoid actions actions operad

J. Ducoulombier
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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.

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J. Ducoulombier. 2014-10-13. Swiss-cheese action on the totalization of operads under the monoid actions actions operad. https://doi.org/10.2140/agt.2016.16.1683

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