G. Barajas

activity

20202026

most citedNon-connected Lie groups, twisted equivariant bundles and coverings

3 citations · 5 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2026

Fixed points in Higgs bundle moduli spaces and the Prym--Narasimhan--Ramanan construction

Guillermo Barajas

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

math.AG2025

Moduli spaces of twisted equivariant G-bundles over a curve

Guillermo Barajas

Let $X$ be a compact Riemann surface, $Γ$ a finite group of automorphisms of $X$ and $G$ a connected reductive complex Lie group with center $Z$ . If we equip this data with a homom…

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.DG2022★ 3 cited

Non-connected Lie groups, twisted equivariant bundles and coverings

G. Barajas, O. García-Prada, P. B. Gothen +1

Let $Γ$ be a finite group acting on a Lie group $G$ . We consider a class of group extensions $1 \to G \to G^\to Γ \to 1$ defined by this action and a $2$ -cocycle of $Γ$ with v…

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…