Félix, Yves
[UCL]
Menichi, L
Thomas, JC.
Let C be a differential graded chain coalgebra, &UOmega; C the reduced cobar construction on C and C-V 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*(C-V, C-V) and HH*(&UOmega; C; &UOmega; C). This result yields to a Hodge decomposition of the loop space homology of a closed oriented manifold, when the field of coefficients is of characteristic zero. © 2004 Elsevier B.V. All rights reserved.
Bibliographic reference |
Félix, Yves ; Menichi, L ; Thomas, JC.. Gerstenhaber duality in Hochschild cohomology. In: Journal of Pure and Applied Algebra, Vol. 199, no. 1-3, p. 43-59 (2005) |
Permanent URL |
http://hdl.handle.net/2078.1/39357 |