The topological cyclic Deligne conjecture

Paolo Salvatore

doi:10.2140/agt.2009.9.237

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Home > Journals > Algebr. Geom. Topol. > Volume 9 > Issue 1 > Article

2009 The topological cyclic Deligne conjecture

Paolo Salvatore

Algebr. Geom. Topol. 9(1): 237-264 (2009). DOI: 10.2140/agt.2009.9.237

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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.