Artículos de revistas
Stratifications on the Moduli Space of Higgs Bundles
Fecha
2016-11-02Registro en:
arXiv:1511.03985v4
820-B5-202
Autor
Zúñiga Rojas, Ronald Alberto
Beier Gothen, Peter
Institución
Resumen
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder–Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank
three Higgs bundles.