Duality in Gerstenhaber algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $C$ be a differential graded coalgebra, $ \barΩC$ the Adams cobar construction and $C^\vee$ the dual algebra. We prove that for a large class of coalgebras $C$ there is a natural isomorphism of Gerstenhaber algebras between the Hochschild cohomologies $HH^\ast (C^\vee, C ^\vee)$ and $HH^\ast (\barΩC ; \barΩC)$. This result permits to describe a Hodge decomposition of the loop space homology of a closed oriented manifold, in the sense of Chas-Sullivan, when the field of coefficients is of characteristic zero.
21 Pages

Keywords

Algebraic Topology, Geometric Topology, Quantum Algebra, 16E40, 17A30, 17B55, 81T30, 55P35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65660

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211229
 http://arxiv.org/abs/math/0211229

Collections

arXiv