Higgs bundles and characteristic classes
Algebraic Geometry
2013-08-22 v1
Abstract
We calculate the characteristic classes for flat SL(n,R) and Sp(2m,R)-bundles over a compact surface as functions of the spectral data in the Higgs bundle description, which consists of the points of order 2 in an abelian variety. Using similar methods we produce a conjectural mirror for the moduli space of flat U(m,m)-bundles with a fixed characteristic class. This is a hyperholomorphic bundle over the Sp(2m,C)-moduli space.
Cite
@article{arxiv.1308.4603,
title = {Higgs bundles and characteristic classes},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:1308.4603},
year = {2013}
}
Comments
Based on a talk given on May 23rd 2013 at the Bonn Arbeitstagung