Poisson geometry of the moduli of local systems on smooth varieties
Algebraic Geometry
2019-07-30 v2 Algebraic Topology
Abstract
We study the moduli of G-local systems on smooth but not necessarily proper complex algebraic varieties. We show that, when suitably considered as derived algebraic stacks, they carry natural Poisson structures, generalizing the well known case of curves. We also construct symplectic leaves of this Poisson structure by fixing local monodromies at infinity, and show that a new feature, called strictness, appears as soon as the divisor at infinity has non-trivial crossings.
Keywords
Cite
@article{arxiv.1809.03536,
title = {Poisson geometry of the moduli of local systems on smooth varieties},
author = {Tony Pantev and Bertrand Toen},
journal= {arXiv preprint arXiv:1809.03536},
year = {2019}
}
Comments
31 pages, minor corrections