Quadric bundles applied to non-maximal Higgs bundles
Algebraic Geometry
2017-06-13 v1
Abstract
We present a survey on the moduli spaces of rank 2 quadric bundles over a compact Riemann surface X. These are objects which generalise orthogonal bundles and which naturally occur through the study of the connected components of the moduli spaces of Higgs bundles over X for the real symplectic group Sp(4,R), with non-maximal Toledo invariant. Hence they are also related with the moduli space of representations of in Sp(4,R). We explain this motivation in some detail.
Keywords
Cite
@article{arxiv.1608.00423,
title = {Quadric bundles applied to non-maximal Higgs bundles},
author = {André Oliveira},
journal= {arXiv preprint arXiv:1608.00423},
year = {2017}
}
Comments
To appear in the special volume of Travaux Math\'ematiques dedicated to the GEOQUANT 2015 Conference held at the ICMAT, Madrid; 15 pages