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2016 Swiss-cheese action on the totalization of action-operads
Julien Ducoulombier
Algebr. Geom. Topol. 16(3): 1683-1726 (2016). DOI: 10.2140/agt.2016.16.1683

Abstract

We prove that, if a pair of semicosimplicial spaces (Xc;Xo) arises from a colored operad, then the semitotalization  sTot(Xo) has the homotopy type of a relative double loop space and the pair ( sTot(Xc); sTot(Xo)) is weakly equivalent to an explicit algebra over the two dimensional Swiss-cheese operad SC2.

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Julien Ducoulombier. "Swiss-cheese action on the totalization of action-operads." Algebr. Geom. Topol. 16 (3) 1683 - 1726, 2016. https://doi.org/10.2140/agt.2016.16.1683

Information

Received: 30 November 2014; Revised: 6 July 2015; Accepted: 13 August 2015; Published: 2016
First available in Project Euclid: 28 November 2017

zbMATH: 1355.55007
MathSciNet: MR3523052
Digital Object Identifier: 10.2140/agt.2016.16.1683

Subjects:
Primary: 55P47, 55P48

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 3 • 2016
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