The Orbit Type Stratification OF the Moduli Space of Higgs Bundles
Differential Geometry
2020-05-29 v1 Algebraic Geometry
Abstract
The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a complex Whitney stratification such that each stratum is a complex symplectic submanifold and hence admits a complex Poisson bracket. Moreover, these Poisson brackets glue to a Poisson bracket on the structure sheaf of the moduli space so that the moduli space is a stratified complex symplectic space
Keywords
Cite
@article{arxiv.2005.13649,
title = {The Orbit Type Stratification OF the Moduli Space of Higgs Bundles},
author = {Yue Fan},
journal= {arXiv preprint arXiv:2005.13649},
year = {2020}
}
Comments
22 pages