O. Garc'ia-Prada

activity

20012022

most citedDimensional reduction, SL(2,C)-equivariant bundles and stable holomorphic chains

53 citations · 132 across the 13 of their papers we have counts for

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14 papers · 1 filter

math.AG2022

A Prym-Narasimhan-Ramanan construction of principal bundle fixed points

G. Barajas, O. García-Prada

Let $X$ be a compact Riemann surface and $G$ be a connected reductive complex Lie group with centre $Z$ . Consider the moduli space $M (X, G)$ of polystable principal holomorphic $G$ -…

math.AG2020★ 2 cited

Finite group actions on Higgs bundle moduli spaces

Guillermo Barajas, Suratno Basu, Oscar García-Prada

Let $M (X, G)$ be the moduli space of $G$ -Higgs bundles over a compact Riemann surface $X$ , where $G$ is a semisimple complex Lie group with centre $Z$ . We describe the fixed…

math.AG2019★ 3 cited

Higgs bundles, abelian gerbes and cameral data

Oscar García-Prada, Ana Peón-Nieto

We study the Hitchin map for $G_{R}$ -Higgs bundles on a smooth curve, where $G_{R}$ is a quasi-split real form of a complex reductive algebraic group $G$ . By look…

math.AG2019★ 10 cited

Higgs bundles and higher Teichmüller spaces

Oscar García-Prada

This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmüller spaces. Recall that the Teichmüller space of a compact surface can be identified with a…

math.AG2018★ 3 cited

Principal co-Higgs bundles on $P^{1}$

Indranil Biswas, Oscar García-Prada, Jacques Hurtubise +1

For complex connected, reductive, affine, algebraic groups $G$ , we give a Lie-theoretic characterization of the semistability of principal $G$ -co-Higgs bundles on the complex proje…

math.AG2018★ 13 cited

SO(p,q)-Higgs bundles and higher Teichmüller components

Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3

Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others a…