Higgs bundles and teichmuller space

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August undefined, 2024

Web2.1.3 Quadratic diﬀerentials and Teichmuller¨ maps. . . . . . . 9 ... • M(S,r) = the moduli space of polystable Higgs bundles of rank ron S (Section 3.2.1). 6 Georgios D. Daskalopoulos and Richard A. Wentworth 2 Teichmull¨ er Space and Extremal Maps • 2.1 The Teichmull¨ er Theorems http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1809798

Geometry of moduli spaces of Higgs bundles

WebInstitute for Advanced Study 1 Einstein Drive Princeton, New Jersey 08540 USA 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 list of sharks on shark tank

The SL(n)-representation of fundamental groups and related topics

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 Web5 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. Web14 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... list of sharks by length

3 - Representations of surface groups and Higgs bundles

Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichm\"uller spaces. Recall that the Teichm\"uller space of a compact surface … Web8 de mar. de 2024 · Abstract: Classical Teichmuller space encodes complex structures on a closed oriented surface but may also be identified with the space of hyperbolic structures or as a distinguished component in the \(PSL(2,\R)\)-character variety for the surface. These different perspectives lead to interesting generalizations known as higher Teichmuller … immaterial amountWebThe higher Teichmuller space is originally de ned by Hitchin. Therefore this space is often called the Hitchin component. He used the Higgs bundle to study the representation space and showed the following theorem.. Theorem(Hitchin ’92)..Hit n(S) is homeomorphic to R(2g 2)(n 2 1). However, in his article, he said list of shark breeds

"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 … " - Higgs bundles and teichmuller space

Higgs bundles and teichmuller space

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 … 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 …

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Web3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! … WebThe components are constructed via a Higgs bundle ‘Slodowy slice’ through magical sl 2-triples. Proofs are harder because the parameter space is itself a moduli space. …

WebHiggs bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson. We generalize a result of Hitchin, identifying … Web25 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 …

WebTeichmuller spaces. They are now called Hitchin components or higher Teichmuller spaces. The rst works which related geometric structures and higher Teichmuller theory are Choi{Goldman [11] and Guichard{Wienhard [23], showing how the low-rank Hitchin components can be used as parameter spaces of special geometric structures on closed … 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...

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]).

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. immaterial amount accountingWebTeichmuller 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 immaterial accounting definitionWebThe 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 … list of shark tank indiaWeb00:00 Abstract I will review the basic concepts of Higgs bundles and the moduli space of Higgs bundles, and then focus the non-Abelian Hodge correspondence: relation between the moduli space of Higgs bundles with harmonic maps and the character variety. immaterial accounting policyWeb8 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 … immaterial and materialWebTEICHMULLER 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 immaterial antonymWebfolds. In Chapter 7 we geometrically quantize the Higgs line bundle moduli space, and investigate the di culties of generalising the techniques used to the higher rank spaces. In particular we construct a projectively at Hitchin connection on the bundle of quantum spaces over Teichmuller space. As far as the author is aware, this is an original ... list of sharon sala books in order