A solution of Deligne's conjecture

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Quantum Algebra, Algebraic Topology, 18H15; 55P48, 55P43

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910126
 http://arxiv.org/abs/math/9910126

Collections

arXiv