Ana Peón-Nieto

activity

20152026

most citedHiggs bundles for real groups and the Hitchin-Kostant-Rallis section

19 citations · 63 across the 9 of their papers we have counts for

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10 papers · 1 filter

math.AG2026

Spectral correspondence for cyclic Higgs bundles

Jia Choon Lee, Ana Peón-Nieto

In this paper, we describe the spectral correspondence for cyclic Higgs bundles from the viewpoint of quiver bundles. Under this framework, we establish a one-to-one correspondence…

math.AG2019

Fixed point branes, singular loci and mirror symmetry

Ana Peón-Nieto

This is the extended abstract of the talk given at the workshop "Geometry and physics of Higgs bundles", held at the Mathematisches Forschungsinstitut Oberwolfach in May 2019.

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★ 4 cited

Moduli spaces of framed $G$ --Higgs bundles and symplectic geometry

Indranil Biswas, Marina Logares, Ana Peón-Nieto

Let $X$ be a compact connected Riemann surface, $D \subset X$ a reduced effective divisor, $G$ a connected complex reductive affine algebraic group and $H_{x} ⊊ G_{x}$ …

math.AG2018★ 3 cited

Symplectic geometry of a moduli space of framed Higgs bundles

Indranil Biswas, Marina Logares, Ana Peón-Nieto

Let $X$ be a compact connected Riemann surface and $D$ an effective divisor on $X$ . Let $N_{H} (r, d)$ denote the moduli space of $D$ -twisted stable Higgs bundles (a special…

math.AG2018★ 17 cited

Unramified covers and branes on the Hitchin system

Emilio Franco, Peter Gothen, André Oliveira +1

We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…

math.AG2017

Very stable bundles and properness of the Hitchin map

Christian Pauly, Ana Peón-Nieto

Let $X$ be a smooth complex projective curve of genus $g \geq 2$ and let $K$ be its canonical bundle. In this note we show that a stable vector bundle $E$ on $X$ is very stable, i.e…

math.AG2017★ 10 cited

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups

Emilio Franco, Ana Peón-Nieto

We study mirror symmetry on the singular locus of the Hitchin system at two levels. Firstly, by covering it by (supports of) $(B B B)$ -branes, corresponding to Higgs bundles reducing…

math.AG2015★ 19 cited

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 $L$ -twisted $G$ -Higgs bundles over a compact Riemann surface $X$ , where $G$ is a real reductive Lie group, and $L$ is a holomorphic line…

math.AG2015★ 7 cited

Cameral data for SU(p+1,p)-Higgs bundles

Ana Peón-Nieto

We study the cameral and spectral data for the moduli space of polystable $SU (p + 1, p)$ -Higgs bundles and deduce the latter from the former. As an application, we obtain tha…

Spectral correspondence for cyclic Higgs bundles

Fixed point branes, singular loci and mirror symmetry

Higgs bundles, abelian gerbes and cameral data

Moduli spaces of framed G--Higgs bundles and symplectic geometry

Symplectic geometry of a moduli space of framed Higgs bundles

Unramified covers and branes on the Hitchin system

Very stable bundles and properness of the Hitchin map

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups

Higgs bundles for real groups and the Hitchin-Kostant-Rallis section

Cameral data for SU(p+1,p)-Higgs bundles

Moduli spaces of framed $G$ --Higgs bundles and symplectic geometry