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arXiv · 1907.04778

Homotopy Gerstenhaber algebras are strongly homotopy commutative

Matthias Franz
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Abstract

We show that any homotopy Gerstenhaber algebra is naturally a strongly homotopy commutative (shc) algebra in the sense of Stasheff-Halperin with a homotopy associative structure map. In the presence of certain additional operations corresponding to a cup-1 product on the bar construction, the structure map becomes homotopy commutative, so that one obtains an shc algebra in the sense of Munkholm.

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Matthias Franz. 2019-07-10. Homotopy Gerstenhaber algebras are strongly homotopy commutative. https://doi.org/10.1007/s40062-020-00268-y

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