Shifted Poisson and symplectic structures on derived N-stacks
Algebraic Geometry
2019-08-30 v6
Abstract
We show that on a derived Artin N-stack, there is a canonical equivalence between the spaces of n-shifted symplectic structures and non-degenerate n-shifted Poisson structures.
Keywords
Cite
@article{arxiv.1504.01940,
title = {Shifted Poisson and symplectic structures on derived N-stacks},
author = {J. P. Pridham},
journal= {arXiv preprint arXiv:1504.01940},
year = {2019}
}
Comments
34 pages; v2 details added, several simplifications; v3 further simplifications, Artin details added; v4 several changes (mostly cosmetic, including notation and terminology), Examples 3.31 added (2-shifted structures on BG), final version (to appear in J. Topol.); v5 typos fixed and refs updated; v6 corrected Lemma 3.9 and dependent proofs