Multivariable cochain operations and little n-cubes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

This is a revision of a paper first posted June 4, 2001. It will appear in the Journal of the AMS. In this paper we construct a small $E_\infty$ chain operad $§$ which acts naturally on the normalized cochains $S^*X$ of a topological space. We also construct, for each $n$, a suboperad $§_n$ which is quasi-isomorphic to the normalized singular chains of the little $n$-cubes operad. The case $n=2$ leads to a substantial simplification of our earlier proof of Deligne's Hochschild cohomology conjecture.

Keywords

Quantum Algebra, Algebraic Topology, 18D50; 55P48, 16E40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106024
 http://arxiv.org/abs/math/0106024

Collections

arXiv