Brace algebras and the cohomology comparison theorem

Abstract : The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a cochain equivalence between the Hochschild complex of a certain algebra and the usual singular cochain complex of a space. We show that this comparison theorem preserves the brace algebra structures. This result gives a structural reason for the recent results establishing fine topological structures on the Hochschild cohomology, and a simple way to derive them from the corresponding properties of cochain complexes.
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Submitted on : Thursday, February 1, 2007 - 9:14:33 PM
Last modification on : Friday, January 12, 2018 - 1:51:51 AM

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F. Patras. Brace algebras and the cohomology comparison theorem. 2003. ⟨hal-00128594⟩

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