Volume 9, issue 1 (2009)

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The topological cyclic Deligne conjecture

Paolo Salvatore

Algebraic & Geometric Topology 9 (2009) 237–264
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/