Higgs bundles and teichmuller space

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August undefined, 2024

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 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 …

Higgs bundles and higher Teichmüller spaces - Semantic Scholar

Web3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! … WebThe 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 how led zeppelin was named

Higher Teichmüller spaces and Higgs bundles

Webfolds. 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 ... 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 http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1809798 how lee chinese squirrel hill menu

Topological invariants of parabolic G-Higgs bundles

HARMONIC MAPS - FROM REPRESENTATIONS TO HIGGS

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 … 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 … how leed certification worksWebIntroduction 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 how led zeppelin got their name

"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 … " - Higgs bundles and teichmuller space

Higgs bundles and teichmuller space

$(PDF) Parabolic Higgs bundles and Teichm\"uller spaces for …$

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 … 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...

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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 … 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 …

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 … 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 $\mathrm {PSL} (2, {\mathbb {R}})$.

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... WebSearch results for citedby:recid:1809798. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON

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

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 … howleen costume ideasWebimportant properties and interpretations. Chapter 5 concerns the Higgs bundle moduli space and the ways it generalises and compares to the stable bundle moduli space. In … how lee chowWeb11 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 … how lee drummond lost weightWebto 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]). howleen monster high makeup kitWebThe 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 howleen monster highWeb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 howleen from monster highWeb2.1.3 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 howle fishery