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- W1641605392 abstract "Let $C$ be a differential graded coalgebra, $ barOmega C$ 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 $HH^ast (barOmega C ; barOmega C)$. 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." @default.
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- W1641605392 date "2002-11-14" @default.
- W1641605392 modified "2023-09-27" @default.
- W1641605392 title "Duality in Gerstenhaber algebras" @default.
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