The topological cyclic Deligne conjecture

Salvatore, Paolo¹

¹Università di Roma Tor Vergata, Dipartimento di Matematica, Via della Ricerca Scientifica, Roma 00133, Italy

Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 237-264

Résumé

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.

Détail

DOI : 10.2140/agt.2009.9.237

Keywords: cyclic operad, deligne conjecture, framed little discs

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