A geometric approach to orthogonal Higgs bundles
Algebraic Geometry
2019-04-02 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We give a geometric characterisation of the topological invariants associated to SO(m,m+1)-Higgs bundles through KO-theory and the Langlands correspondence between orthogonal and symplectic Hitchin systems. By defining the split orthogonal spectral data, we obtain a natural grading of the moduli space of SO(m,m+1)-Higgs bundles.
Keywords
Cite
@article{arxiv.1608.00300,
title = {A geometric approach to orthogonal Higgs bundles},
author = {Laura P. Schaposnik},
journal= {arXiv preprint arXiv:1608.00300},
year = {2019}
}
Comments
12 pages, comments welcomed!