Higgs bundles and teichmuller space
Web23 de mar. de 2024 · Higher Teichmüller spaces are generalizations of this, where PSL(2,R) is replaced by certain simple non-compact real Lie groups of higher rank. As … WebTEICHMULLER SPACES ¨ STEVEN BRADLOW ... Moduli spaces of Higgs bundles 38 6.1. Stability conditions and moduli spaces 38 6.2. Local structure of the moduli spaces 39 6.3. The Hitchin map 40 6.4. The Hitchin–Kobayashi correspondence 41 7. The generalized Cayley correspondence 42
Higgs bundles and teichmuller space
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Web3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! … Web11 de jan. de 2024 · This course is an introduction to the moduli space of Higgs bundles, introduced by Hitchin in 1987 and sometimes called the Hitchin moduli space. It is a …
Web14 de dez. de 2024 · We introduce the notions of deformation Higgs bundle and Riemann-Finsler metric on the moduli space of polarized varieties. We also use the Higgs-de … Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmuller spaces. Recall that the Teichmuller space of a compact surface …
Webof the orbifold fundamental group. Moreover, the Teichmuller space in the orbifold case was studied in [38], as well as the topology of the moduli space of Higgs bundles in the orbifold situation for rank 2 bundles. Under the correspondence between parabolic Higgs bundles and Higgs V-bundles, we map Webpurpose of this note is to introduce the theory of Higgs bundles, with a strong emphasis put on the role of harmonic maps. We will begin with an overview of Fricke-Teichmuller …
WebThe universal Teichmuller space, introduced by Bers in 1965, is an in nite space that naturally contains all the Teichmuller space. In the same spirit, we propose a universal …
WebTeichmuller space. In general, the bre of M( ;RH4) over c 2T g is isomorphic to the nilpotent cone in H(c;G), or to be precise, the open subset of this which corresponds to indecomposable Higgs bundles. By Hausel’s Theorem [18] the nilpotent cone is a union of the unstable manifolds of the downwards gradient ow for the Higgs bundle energy (which in centro bed and breakfast napoliWeb15 de dez. de 2024 · Show abstract Parabolic Higgs bundles and Teichmüller spaces for punctured surfaces Article Full-text available Apr 1997 Indranil Biswas Pablo Arés-Gastesi Suresh Govindarajan View Show... in cerro de pasco the lead mine\u0027s size isWebto PSL(2;R) is called the Teichmuller space of . ... with a lattice in a simple noncompact connected Lie group Hwithout center. Higgs bundles and representations of complex hyperbolic lattices 3 and not locally isomorphic to PSL(2;R) are uniquely determined by . This is the content of Mostow strong rigidity theorem ([38,40]). in certain fieldsWebwith G0ˆG reductive and (E;’) stable as a G0-Higgs bundle The moduli space of polystable G-Higgs bundles M(X;G) is the set of isomorphism classes of polystable G-Higgs … in certain cityWeb5 de abr. de 2014 · Together, these two results allow the character variety for representations of the fundamental group of a Riemann surface in a Lie group G to be identified with a moduli space of holomorphic objects, known as G -Higgs bundles. dyonics 3673Web2 de mar. de 2024 · These results are proven in two steps, first we use Higgs bundles to give a non-mapping class group equivariant parameterization, then we prove an analogue of Labourie's conjecture for maximal PSp ... in certain individualsWebIn these series of lectures, we consider the moduli space of G-Higgs bundles over a compact Riemann surface X, and its correspondence with the moduli space of … dyno liability release