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arXiv · 1409.1863

Poisson bivectors and Poisson brackets on affine derived stacks

Valerio Melani
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Abstract

Let Spec(A) be an affine derived stack. We give two proofs of the existence of a canonical map from the moduli space of shifted Poisson structures (in the sense of Pantev-To\"en-Vaqui\'e-Vezzosi, see http://arxiv.org/abs/1111.3209 ) on Spec(A) to the moduli space of homotopy (shifted) Poisson algebra structures on A. The first makes use of a more general description of the Poisson operad and of its cofibrant models, while the second in more computational and involves an explicit resolution of the Poisson operad.

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Valerio Melani. 2014-09-05. Poisson bivectors and Poisson brackets on affine derived stacks. https://arxiv.org/abs/1409.1863

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