Higgs bundles and teichmuller space
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 WebSearch results for citedby:recid:1675144. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON
Higgs bundles and teichmuller space
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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 Web2 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 ...
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 … 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
WebInstitute for Advanced Study 1 Einstein Drive Princeton, New Jersey 08540 USA 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 …
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 …
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 … slower than usualhttp://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1675144 software engineer jobs floridaWebSearch results for citedby:recid:1809798. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON slower than vivaceWebfolds. 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 ... software engineer jobs in bangaloreWeb7 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... software engineer jobs in dallas texasWeb00:00 Abstract I will review the basic concepts of Higgs bundles and the moduli space of Higgs bundles, and then focus the non-Abelian Hodge correspondence: relation between the moduli space of Higgs bundles with harmonic maps and the character variety. slower then or slower thanWebThe 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 software engineer jobs for recent graduates