The orbit type stratification of the moduli space of Higgs bundles
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DOI: 10.1007/s00208-021-02244-0
Abstract: The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a… read more here.
Keywords: space; orbit type; space higgs; moduli space ... See more keywords
$$\mathrm {SO}(p,q)$$-Higgs bundles and Higher Teichmüller components
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DOI: 10.1007/s00222-019-00885-2
Abstract: Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they… read more here.
Keywords: higher teichm; bundles higher; moduli spaces; components moduli ... See more keywords
The moduli spaces of equivariant minimal surfaces in $${\mathbb {RH}}^3$$RH3 and $$\mathbb {RH}^4$$RH4 via Higgs bundles
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DOI: 10.1007/s10711-018-0395-5
Abstract: In this article we introduce a definition for the moduli space of equivariant minimal immersions of the Poincaré disc into a non-compact symmetric space, where the equivariance is with respect to representations of the fundamental… read more here.
Keywords: equivariant minimal; space; moduli spaces; higgs bundles ... See more keywords
Topological mirror symmetry for parabolic Higgs bundles
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DOI: 10.1016/j.geomphys.2018.08.020
Abstract: Abstract We prove the topological mirror symmetry conjecture of Hausel–Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic… read more here.
Keywords: mirror symmetry; higgs bundles; parabolic higgs; topological mirror ... See more keywords
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins
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DOI: 10.1063/1.5048676
Abstract: We define the quasi-compact Higgs $G^{\mathbb C}$-bundles over singular curves introduced in our previous paper for the Lie group SL($N$). The quasi-compact structure means that the automorphism groups of the bundles are reduced to the… read more here.
Keywords: calogero sutherland; compact higgs; quasi compact; sutherland systems ... See more keywords
Spectral Data for Spin Higgs Bundles
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DOI: 10.1093/imrn/rny296
Abstract: In this paper we determine the spectral data parametrizing Higgs bundles in a generic fiber of the Hitchin map for the case where the structure group is the special Clifford group with fixed Clifford norm.… read more here.
Keywords: higgs bundles; data spin; spectral data; higgs ... See more keywords