Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces

Abstract

We define homogeneous principal Higgs and co-Higgs bundles over irreducible Hermitian symmetric spaces of compact type. We provide a classification for each type of object up to isomorphism, which in each case can be interpreted as defining a moduli space.

arXiv comment19 pages, to appear in Internat. J. Math

References in corpus (11)

• Generalized holomorphic bundles and the B-field action
• Constructing co-Higgs bundles on CP^2
• Geometric Endoscopy and Mirror Symmetry
• Twisted argyle quivers and Higgs bundles
• Rank two nilpotent co-Higgs sheaves on complex surfaces
• The quiver at the bottom of the twisted nilpotent cone on ${\mathbb{P}}^1$
• Moduli Spaces of semistable rank 2 co-Higgs bundles over ${\mathbb{P}}^1\times {\mathbb{P}}^1$
• A vanishing theorem for co-Higgs bundles on the moduli space of bundles
• Principal co-Higgs bundles on ${\mathbb{P}}^1$
• Rational Morita equivalence for holomorphic Poisson modules
• Yang-Mills-Higgs connections on Calabi-Yau manifolds, II

Cited by in corpus (1)

• Toric co-Higgs bundles on toric varieties