Higgs bundles and teichmuller space
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 … 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 …
Higgs bundles and teichmuller space
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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. 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
Web2.2 The Higgs bundle moduli space and deformation theory. In general, these stability notions involve the interaction of the Higgs field with certain parabolic reductions of … 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 …
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 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.
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WebIntroduction 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 high noonsWebwith 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 … high north center for business and governanceWeb8 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 … how many active smite 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 … high north campground coloradoWebSome 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 … high normals blood testsWeb2.1.3 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 high normal tsh low normal t4WebSearch results for citedby:recid:1675144. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON how many active serial killers in usa