In this paper, we study the moduli space of representations of a surface group (that is, the
fundamental group of a closed oriented surface) in the real symplectic group Sp (2 n, ℝ). The …

We carry an intrinsic approach to the study of the connectedness of the moduli space
$\mathcal {M} _G $ of $ G $-Higgs bundles, over a compact Riemann surface, when $ G $ is …

Given a closed, oriented surface X of genus g≥ 2, and a semisimple Lie group G, let be the
moduli space of reductive representations of π1X in G. We determine the number of …

Let X be a compact Riemann surface. A quadratic pair on X consists of a holomorphic vector
bundle with a quadratic form which takes values in a fixed line bundle. We show that the …

We carry an intrinsic approach to the study of the connectivity of the moduli space MG of G-
Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not …

For a fixed compact Riemann surface X, of genus at least 2, we count the number of
connected components of the moduli space of maximal Higgs bundles over X for the …

arxiv:1612.06621v1 [math.DG] 20 Dec 2016 Page 1 arxiv:1612.06621v1 [math.DG] 20 Dec
2016 MAXIMAL HIGGS BUNDLES FOR ADJOINT FORMS VIA CAYLEY CORRESPONDENCE …

For a fixed compact Riemann surface X, of genus at least 2, we count the number of
connected components of the moduli space of maximal Higgs bundles over X for the …

We carry an intrinsic approach to the study of the connectedness of the moduli space MG of
G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not …