Higgs bundles and teichmuller space

Author: loay

August undefined, 2024

http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1675144 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 …

The moduli space of Higgs bundles - University of Toronto …

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 … 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 ... smart free wifi log in

Higgs Bundles and Higher Teichmüller Spaces - Videos Institute …

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... 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 … WebThe notion of a Higgs bundle was introduced by Hitchin in [14] and has been widely studied from di erent points of view. The moduli space of Higgs bundles includes Teichmuller space when we consider discrete and faithful representations to SL(2;R) (see [10], [32]) and further generalizes to the concept of higher Teichmuller hills centre

3 - Representations of surface groups and Higgs bundles

群作用手册(第2卷)_季理真、[法]帕帕多普洛斯、丘成 ...

WebAbstract: 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 can be identified with a certain connected component of the moduli space of representations of the fundamental group of the surface into $\mathrm {PSL} (2, {\mathbb {R}})$. 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 hills chat neuteredWeb2 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 ... hills chamber of commerce

"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... " - Higgs bundles and teichmuller space

Higgs bundles and teichmuller space

(PDF) Parabolic Higgs bundles and Teichmüller spaces for …

WebSearch results for citedby:recid:1675144. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON 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 …

Did you know?

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. 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 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 … 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 …

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 … 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

http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1809798 smart freight funding cover sheetWebIntroduction 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 smart free text messageWeb作者：季理真、[法]帕帕多普洛斯、丘成桐著出版社：高等教育出版社出版时间：2015-01-00 开本：16开页数：572 字数：950 isbn：9787040413892 版次：1 ，购买群作用手册(第2卷)等自然科学相关商品，欢迎您到孔夫子旧书网 hills chainsaw and mowerWebThe 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. … hills charactersWeb25 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 … smart freeway kwinanaWeb8 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 … hills chinesseWeb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 smart freeview tv