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Higgs bundles and teichmuller space

Web1 de abr. de 2024 · On Branch Loci in Teichmuller Space. Article. Full-text available. Jan 1971; Bill Harvey; View. Automorphism groups of hyperelliptic Riemann surfaces. ... We study one specific Higgs bundle ... Web1 de abr. de 1997 · In this paper we study the relation between parabolic Higgs vector bundles and irreducible representations of the fundamental group of punctured Riemann …

Topological invariants of parabolic G-Higgs bundles

Web14 de nov. de 1995 · and para b olic Higgs bundles, F uc hsian represen tations of n-punctured Riemann surfaces are in one-one correspondence with parab olic Higgs … WebIntroduction What is a Higgs bundle? I X { closed Riemann surface of genus g; I K X = T1;0X { the holomorphic cotangent bundle of X. De nition A Higgs bundle on X is a pair (E;˚), where I E !X is holomorphic vector bundle; I ˚is a holomorphic 1-form with values in End(E), i.e., ˚2H0(X;End(E) K X). Discrete invariants: d = deg(E); n = rk(E): Example brandi carlile most of all https://crofootgroup.com

Higgs bundles and representations of complex hyperbolic lattices

WebHiggs bundle (E, 0(0)) corresponds to the Fuchsian representation for the Riemann ... PARABOLIC HIGGS BUNDLES AND TEICHMULLER SPACES 1553 this dimension is 2(3g -3 + n), which is precisely the real dimension of Tgn, the Teichmiiller space of compact surfaces of genus g with n punctures. Web8 de mar. de 2024 · These different perspectives lead to interesting generalizations known as higher Teichmuller spaces. Higgs bundles on Riemann surfaces are holomorphic bundles with an auxiliary feature known as the Higgs field. With roots in physical and mathematical gauge theory they have moduli spaces with rich algebraic and geometric … Webto 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]). brandi carlile my song lyrics

Abelian varieties and Riemann surfaces with generalized …

Category:Higher Teichmuller theory and Higgs bundles

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Higgs bundles and teichmuller space

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Web2.2 The Higgs bundle moduli space and deformation theory. In general, these stability notions involve the interaction of the Higgs field with certain parabolic reductions of … 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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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 Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆

Web7 de fev. de 2024 · Date/Time:17 Apr 2024 15:00 Venue: S17 #05-11 SR5 Speaker: Oscar Garcia-Prada, ICMAT, Madrid Higgs bundles and higher Teichmüller spaces Some... 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 …

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 … 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

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WebIn 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 … haier rtxsg47tmce-37-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 … brandi carlile new album in these silent daysWeb5 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. brandi carlile northerly islandWeb15 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... haier rtxsgp48tmsceWeb14 de nov. de 1995 · In this paper we study the relation between parabolic Higgs bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson. We generalize... brandi carlile new yearWeb11 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 … brandi carlile net worth 2022Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmüller spaces. Recall that the Teichmüller space of a compact surface … haier room fridge price in pakistan