activity
20062023
most citedOn moduli spaces of Hitchin pairs

13 citations · 58 across the 18 of their papers we have counts for

collaborators

19 papers

math.GT2023

Stratification of -character varieties of twisted Hopf links

Ángel González-Prieto, Marina Logares, Javier Martínez +1

We describe the geometry of the character variety of representations of the fundamental group of the complement of a Hopf link with twists, namely $Γ_{n}=\langle x,y \,| \, [x^…

math.AG2021

Motive of the representation varieties of torus knots for low rank affine groups

Ángel González-Prieto, Marina Logares, Vicente Muñoz

We compute the motive of the variety of representations of the torus knot of type (m,n) into the affine groups and . For this, we stratify the varieties and sh…

math.AG2020

On character varieties of singular manifolds

Ángel González-Prieto, Marina Logares

In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic varieties, of -representation va…

math.AG2020★ 5 cited

Representation variety for the rank one affine group

Angel González-Prieto, Marina Logares, Vicente Muñoz

The aim of this paper is to study the virtual classes of representation varieties of surface groups onto the rank one affine group. We perform this calculation by three different a…

math.AG2019★ 4 cited

Moduli spaces of framed --Higgs bundles and symplectic geometry

Indranil Biswas, Marina Logares, Ana Peón-Nieto

Let be a compact connected Riemann surface, a reduced effective divisor, a connected complex reductive affine algebraic group and …

math.AG2018★ 3 cited

On Higgs Bundles on Nodal Curves

Marina Logares

This is a review article on some applications of generalised parabolic structures to the study of torsion free sheaves and -twisted Hitchin pairs on nodal curves. In particular,…