We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalization of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree
We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologi...
The moduli space of Higgs bundles over Riemann surfaces can be defined as a quotient of an infinite-...
We define the cohomological Hall algebra $AHA_Higgs(X)$ of the ($2$-dimensional) Calabi-Yau category...
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the...
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G i...
If S is an elliptic curve, the total space X of the cotangent bundle of S is the moduli space of ran...
We study G-Higgs bundles over a Riemann surface which are fixed points of a roots of unity action. W...
The purpose of this paper is to extend the Donaldson–Corlette theorem to the case of vector bundles ...
In this thesis we study vector bundles on projective varieties and their moduli spaces. In Chapters ...
Abstract. Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that tak...
We study the Hitchin map for $G_{\mathbb{R}}$-Higgs bundles on a smooth curve, where $G_{\mathbb{R}}...
We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local syste...
We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local syste...
Higgs bundles over a closed orientable surface can be defined for any real reductive Lie group . In ...
This thesis studies numerically flat Higgs bundles on complex projective manifolds, motivated by Bru...
We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologi...
The moduli space of Higgs bundles over Riemann surfaces can be defined as a quotient of an infinite-...
We define the cohomological Hall algebra $AHA_Higgs(X)$ of the ($2$-dimensional) Calabi-Yau category...
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the...
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G i...
If S is an elliptic curve, the total space X of the cotangent bundle of S is the moduli space of ran...
We study G-Higgs bundles over a Riemann surface which are fixed points of a roots of unity action. W...
The purpose of this paper is to extend the Donaldson–Corlette theorem to the case of vector bundles ...
In this thesis we study vector bundles on projective varieties and their moduli spaces. In Chapters ...
Abstract. Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that tak...
We study the Hitchin map for $G_{\mathbb{R}}$-Higgs bundles on a smooth curve, where $G_{\mathbb{R}}...
We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local syste...
We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local syste...
Higgs bundles over a closed orientable surface can be defined for any real reductive Lie group . In ...
This thesis studies numerically flat Higgs bundles on complex projective manifolds, motivated by Bru...
We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologi...
The moduli space of Higgs bundles over Riemann surfaces can be defined as a quotient of an infinite-...
We define the cohomological Hall algebra $AHA_Higgs(X)$ of the ($2$-dimensional) Calabi-Yau category...
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