Spectral data for G-Higgs bundles
Differential Geometry
2013-01-11 v1 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We develop a new geometric method of understanding principal G-Higgs bundles through their spectral data, for G a real form of a complex Lie group. In particular, we consider the case of G a split real form, as well as G = SL(2,R), U(p,p), SU(p,p), and Sp(2p,2p). Further, we give some applications of our results, and discuss open questions.
Cite
@article{arxiv.1301.1981,
title = {Spectral data for G-Higgs bundles},
author = {Laura P. Schaposnik},
journal= {arXiv preprint arXiv:1301.1981},
year = {2013}
}
Comments
Oxford University DPhil Thesis, 170 pages