Left and right centers in quasi-Poisson geometry of moduli spaces
Symplectic Geometry
2021-06-09 v4
Abstract
We introduce left central and right central functions and left and right leaves in quasi-Poisson geometry, generalizing central (or Casimir) functions and symplectic leaves from Poisson geometry. They lead to a new type of (quasi-)Poisson reduction, which is both simpler and more general than known quasi-Hamiltonian reductions. We study these notions in detail for moduli spaces of flat connections on surfaces, where the quasi-Poisson structure is given by an intersection pairing on homology.
Keywords
Cite
@article{arxiv.1402.2322,
title = {Left and right centers in quasi-Poisson geometry of moduli spaces},
author = {Pavol Ševera},
journal= {arXiv preprint arXiv:1402.2322},
year = {2021}
}
Comments
18 pages; v4: Proposition 6 corrected