Add to ORKGThe moduli space of SL(n,C)-Higgs bundles over a Riemann surface admits a Hitchin fibration over the space of holomorphic differentials on the Riemann surface. In this talk, we focus on Hitchin fibers at (q2,0,...,0), that is, the fibers containing Fuchsian locus. We show a comparison theorem on the length spectrum between surface group representations in such fibers with Fuchsian ones, as a generalization of the SL(2,C) case shown by Deroin and Tholozan.Non UBCUnreviewedAuthor affiliation: CaltechPostdoctora
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geomet...
An effective family of spectral curves appearing in Hitchin fibrations is determined. Using...
We compute the monodromy of the Hitchin fibration for the moduli space of L-twisted SL(n, C) and GL(...
We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic H...
In this paper we pursue a more geometric approach to compactification of the Hitchin component. Our ...
The notions of Hitchin systems and Higgs bundles (also called Higgs pairs) were introduced by N. Hit...
http://arxiv.org/PS_cache/math/pdf/9810/9810034v1.pdfA gauge theoretic description of the Morgan-Sha...
In this talk we will discuss quasi-Hitchin representations in $\mathrm{Sp}(4,\mathbb{C})$, which are...
Let Σ be a compact Riemann surface of genus g ≥ 2. This thesis is dedicated to the study of certain ...
Let Σ be a compact Riemann surface of genus g ⥠2. This thesis is dedicated to the study of certai...
For G = GL2, PGL2, SL2 we prove that the perverse filtration associated with the Hitchin map on the ...
For G = GL2, PGL2, SL2 we prove that the perverse filtration associated with the Hitchin map on the ...
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize ...
An effective family of spectral curves appearing in Hitchin fibrations is determined. Using...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geomet...
An effective family of spectral curves appearing in Hitchin fibrations is determined. Using...
We compute the monodromy of the Hitchin fibration for the moduli space of L-twisted SL(n, C) and GL(...
We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic H...
In this paper we pursue a more geometric approach to compactification of the Hitchin component. Our ...
The notions of Hitchin systems and Higgs bundles (also called Higgs pairs) were introduced by N. Hit...
http://arxiv.org/PS_cache/math/pdf/9810/9810034v1.pdfA gauge theoretic description of the Morgan-Sha...
In this talk we will discuss quasi-Hitchin representations in $\mathrm{Sp}(4,\mathbb{C})$, which are...
Let Σ be a compact Riemann surface of genus g ≥ 2. This thesis is dedicated to the study of certain ...
Let Σ be a compact Riemann surface of genus g ⥠2. This thesis is dedicated to the study of certai...
For G = GL2, PGL2, SL2 we prove that the perverse filtration associated with the Hitchin map on the ...
For G = GL2, PGL2, SL2 we prove that the perverse filtration associated with the Hitchin map on the ...
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize ...
An effective family of spectral curves appearing in Hitchin fibrations is determined. Using...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geomet...
An effective family of spectral curves appearing in Hitchin fibrations is determined. Using...
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