The topological cyclic Deligne conjecture

Salvatore, Paolo

doi:10.2140/agt.2009.9.237

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The topological cyclic Deligne conjecture

Paolo Salvatore

Algebraic & Geometric Topology 9 (2009) 237–264

DOI: 10.2140/agt.2009.9.237

Abstract

Let $O$ be a cyclic topological operad with multiplication. In the framework of the cosimplicial machinery by McClure and Smith, we prove that the totalization of the cosimplicial space associated to $O$ has an action of an operad equivalent to the framed little $2$ –discs operad.

Keywords

cyclic operad, deligne conjecture, framed little discs

Mathematical Subject Classification 2000

Primary: 18D50

Secondary: 55P48

References

Publication

Received: 25 June 2008

Revised: 5 November 2008

Accepted: 18 November 2008

Published: 6 February 2009

Authors

Paolo Salvatore
Università di Roma Tor Vergata Dipartimento di Matematica Via della Ricerca Scientifica Roma 00133 Italy
http://www.mat.uniroma2.it/~salvator/

Volume 9, issue 1 (2009)