Higgs bundles and teichmuller space
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 http://math.bu.edu/keio2024/talks/Inagakitalk.pdf
Higgs bundles and teichmuller space
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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 ... 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 …
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 … 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.
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 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 …
Web11 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 …
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 dillard university t shirtsWeb25 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 … for the king redeemable codesWebTeichmuller 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 for the king pttWeb23 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 … for the king playersWeb14 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 … for the king refocusWeb8 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 … for the king playstationWeb15 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... for the king rating