The topological cyclic Deligne conjecture

2008/06/24 by Paolo Salvatore, Salvatore, Paolo
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.AT #math.QA

paper · pdf · doi:10.48550/arxiv.0806.3904

An appendix comparing with the construction by McClure and Smith has been added

openalex publication_date 2008/06/24 · arxiv created 2010/10/15 · arxiv updated 2010/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Hochschild cohomology of a Poincaré algebra
• Notes on string topology

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