Spectral data for G-Higgs bundles

<p>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 app...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Schaposnik, LP
Бусад зохиолчид: Hitchin, NJ
Формат: Дипломын ажил
Хэл сонгох:English
Хэвлэсэн: 2013
Нөхцлүүд:
Тодорхойлолт
Тойм:<p>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.</p>