Duality in Gerstenhaber algebras
| dc.creator | Félix, Yves | |
| dc.creator | Menichi, Luc | |
| dc.creator | Thomas, Jean-Claude | |
| dc.date | 2002-11-14 | |
| dc.date.accessioned | 2026-07-07T04:52:56Z | |
| dc.date.available | 2026-07-07T04:52:56Z | |
| dc.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. | |
| dc.description | 21 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0211229 | |
| dc.identifier | http://arxiv.org/abs/math/0211229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65660 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16E40, 17A30, 17B55, 81T30, 55P35 | |
| dc.title | Duality in Gerstenhaber algebras | |
| dc.type | text |