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- Title
Hochschild cohomology of a strongly homotopy commutative algebra.
- Authors
Ndombol, Bitjong; Félix, Y.; Thomas, J.-C.
- Abstract
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.
- Publication
Manuscripta Mathematica, 2014, Vol 143, Issue 3/4, p419
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-013-0629-7