Poisson bivectors and Poisson brackets on affine derived stacks
Algebraic Geometry
2016-01-19 v3
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.
Cite
@article{arxiv.1409.1863,
title = {Poisson bivectors and Poisson brackets on affine derived stacks},
author = {Valerio Melani},
journal= {arXiv preprint arXiv:1409.1863},
year = {2016}
}
Comments
23 pages. Revised argument in section 3, results unchanged