Non-commutative integrable systems on $b$-symplectic manifolds
Symplectic Geometry
2018-02-13 v1
Abstract
In this paper we study non-commutative integrable systems on -Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering non-commutative systems on manifolds with boundary having the right asymptotics on the boundary. In this paper we describe this and other examples and we prove an action-angle theorem for non-commutative integrable systems on a -symplectic manifold in a neighbourhood of a Liouville torus inside the critical set of the Poisson structure associated to the -symplectic structure.
Keywords
Cite
@article{arxiv.1606.02605,
title = {Non-commutative integrable systems on $b$-symplectic manifolds},
author = {Anna Kiesenhofer and Eva Miranda},
journal= {arXiv preprint arXiv:1606.02605},
year = {2018}
}