33 citations · 58 across the 9 of their papers we have counts for
9 papers
Involutions of rank 2 Higgs bundle moduli spaces
Oscar Garcia-Prada, S. Ramanan
We consider the moduli space of rank 2 Higgs bundles with fixed determinant over a smooth projective curve X of genus 2 over the complex numbers, and study involutions defined by t…
Involutions and higher order automorphisms of Higgs bundle moduli spaces
Oscar Garcia-Prada, S. Ramanan
We consider the moduli space of -Higgs bundles over a compact Riemann surface , where is a complex semisimple Lie group. This is a hyperkähler manifold h…
Higgs bundles for real groups and the Hitchin-Kostant-Rallis section
Oscar García-Prada, Ana Peón-Nieto, S. Ramanan
We consider the moduli space of polystable -twisted -Higgs bundles over a compact Riemann surface , where is a real reductive Lie group, and is a holomorphic line…
Hecke curves and Hitchin discriminant
Jun-Muk Hwang, S. Ramanan
Let be a smooth projective curve of genus over the complex numbers and be the moduli space of stable vector bundles of rank with a fixed dete…
On vector bundles destabilized by Frobenius pull-back
Kirti Joshi, S. Ramanan, Eugene Z. Xia +1
Let X be an irreducible smooth projective curve of genus at least two over an algebraically closed field k of characteristic p>0. In this paper we study the natural stratification,…
Twisted Higgs bundles and the fundamental group of compact Kähler manifolds
O. Garcia-Prada, S. Ramanan
We study polystable Higgs bundles twisted by a line bundle over a compact Kähler manifold. These form a Tannakian category when the first and second Chern classes of the bundle are…