English

The topological cyclic Deligne conjecture

Algebraic Topology 2010-10-18 v2 Quantum Algebra

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

Cite

@article{arxiv.0806.3904,
  title  = {The topological cyclic Deligne conjecture},
  author = {Paolo Salvatore},
  journal= {arXiv preprint arXiv:0806.3904},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T10:53:52.027Z