Higgs bundles and teichmuller space

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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... 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

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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 … Webimportant 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 … greenland shark interesting facts

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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 ... 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 ... 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 … greenland shark habitat facts

Higher Teichmuller theory and Higgs bundles

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. Webwith 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 … fly fishing flathead river mtWeb5 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. fly fishing floating line

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Higgs bundles and teichmuller space

SO (p, q) -Higgs bundles and Higher Teichmüller components

Web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 WebHIGGS BUNDLES AND HIGHER TEICHMÜLLER SPACES OSCAR GARCÍA-PRADA Abstract. This paper is a survey on the role of Higgs bundle theory in the study of higher …

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

WebSome connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they are not detected by primary invariants, or because they have special geometric significance, or both. In this paper we … http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1809798

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 … 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 …

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 …

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 … greenland shark imagesWeb14 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 … greenland shark how long do they liveWeb3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! … fly fishing flies cheaphttp://math.bu.edu/keio2024/talks/Inagakitalk.pdf fly fishing fleece pantsWeb1 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 … greenland shark life spanWeb15 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... greenland shark lifespan captivityWebof 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 fly fishing float tubes