The Hochschild cohomology of a Poincaré algebra

Abstract

In this note, we define the notion of a cactus set, and show that its geometric realization is naturally an algebra over Voronov's cactus operad, which is equivalent to the framed 2-dimensional little disks operad ${\mathcal{D}}_2$. Using this, we show that the Hochschild cohomology of a Poincaré algebra A is an algebra over (the chain complexes of) ${\mathcal{D}}_2$.

arXiv comment12 pages

Cited by in corpus (1)

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