A solution of Deligne's conjecture

James E. McClure; Jeffrey H. Smith

A solution of Deligne's conjecture

Quantum Algebra 2007-05-23 v2 Algebraic Topology

Authors: James E. McClure , Jeffrey H. Smith

Abstract

Deligne asked in 1993 whether the Hochschild cochain complex of an associative ring has a natural action by the singular chains of the little 2-cubes operad. In this paper we give an affirmative answer to this question. We also show that the topological Hochschild cohomology spectrum of an associative ring spectrum has an action of an operad equivalent to the little 2-cubes.

Cite

@article{arxiv.math/9910126,
  title  = {A solution of Deligne's conjecture},
  author = {James E. McClure and Jeffrey H. Smith},
  journal= {arXiv preprint arXiv:math/9910126},
  year   = {2007}
}