Poisson geometry of parabolic bundles on Elliptic curves
Algebraic Geometry
2007-11-17 v2 Symplectic Geometry
Abstract
The moduli space of -bundles on an elliptic curve with additional flag structure admits a Poisson structure. The bivector can be defined using double loop group, loop group and sheaf cohomology constructions. We investigate the links between these methods and for the case perform explicit computations, describing the bracket and its leaves in detail.
Keywords
Cite
@article{arxiv.math/0607061,
title = {Poisson geometry of parabolic bundles on Elliptic curves},
author = {David Balduzzi},
journal= {arXiv preprint arXiv:math/0607061},
year = {2007}
}
Comments
Final version: typos fixed, some re-organization; to appear IJM