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Article Dans Une Revue Manuscripta mathematica Année : 2014

Hochschild cohomology of a strongly homotopy commutative algebra

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Résumé

The Hochschild cohomology of a DG algebra A with coefficients in itself is, up to a suspension of degrees, a graded Lie algebra. The purpose of this paper is to prove that a certain DG Lie algebra of derivations appears as a finite codimensional graded sub Lie algebra of this Lie algebra when A is a strongly homotopy commutative algebra whose homology is concentrated in finitely many degrees. This result has interesting implications for the free the loop space homology which we explore here as well.

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Dates et versions

hal-03038372 , version 1 (03-12-2020)

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Bitjong Ndombol, Y. Félix, Jean-Claude Thomas. Hochschild cohomology of a strongly homotopy commutative algebra. Manuscripta mathematica, 2014, 143 (3-4), pp.419-443. ⟨10.1007/s00229-013-0629-7⟩. ⟨hal-03038372⟩
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