Higgs bundle and local system
WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . … WebHoje · We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified cover…
Higgs bundle and local system
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Web1 de out. de 1996 · Precisely which parabolic bundles occur in stable K (D) pairs and stable Higgs bundles is determined. Using Morse theory, the moduli space of parabolic Higgs bundles is shown to be a non-compact, connected, simply connected manifold, and a computation of its Poincare polynomial is given. View PDF on arXiv Save to Library … WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . Let be a finite set of closed points of . Let and be the base change of , to an algebraic closure.
Web5 de abr. de 2014 · In this chapter we give an introduction to Higgs bundles and their application to the study of surface group representations. This is based on two fundamental theorems. Web3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! …
WebThe non-abelian Hodge theory identifies moduli spaces of representations with moduli spaces of Higgs bundles through solutions to Hitchin's selfduality equations. On the one hand, ... local systems. Watch. Notes. Intersection number and systole on hyperbolic surfaces - Tina TORKAMAN, Harvard University (2024-06-21) Let X be a compact … Webdetermines both a Higgs bundle (E,ϕ) and a local system L. In fact, it determines a family of λ-connections for all λ∈ C, with the Higgs bundles arising at λ= 0 and the local system, or equivalently a flat connection, at λ= 1. The NAHC (“Kobayashi-Hitchin correspondence” in Mochizuki’s terminology) says that this sets up an ...
Weblocal systems and filtered stable degree 0 Higgs bundles over Σ−S. The notion of a filtered Higgs bundle is essentially the same as a Higgs bundle with a quasi-parabolic …
Web1 de mai. de 2006 · We construct a Petersson-Weil type Kahler form on the moduli spaces of Higgs bundles over a compact Kahler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain determinant line bundle, equipped with a Quillen metric, on the moduli space of Higgs … shropshire light aviationWebIt is true for local systems with complex coefficients. The rough picture is this: A flat connections is equivalent to a local system and the parallel transport of this connection … shropshire library serviceWeb7.4 From Flat Bundles to Higgs Bundles 35 7.5 From Higgs Bundles to Flat Bundles 36 7.6 The Case of Line Bundles 36 7.7 Line Bundles: From Flat to Higgs 38 7.8 Line Bundles: From Higgs to Flat 39 8 Examples 42 8.1 Every Riemann Surface is K ahler 42 8.2 Line Bundles over 42 8.3 Some Rank 2 Higgs Bundles 43 8.4 Teichmuller … theo roosevelt lakeWebRANK 2 ℓ-ADIC LOCAL SYSTEMS AND HIGGS BUNDLES OVER A CURVE HONGJIE YU Abstract Let X be asmooth, projective,and geometricallyconnected … theo root beerWeb1 de set. de 2007 · A Higgs bundle is a holomorphic vector bundle together with a Higgs field. Such objects first emerged twenty years ago in Nigel Hitchin's study of the self … the o room usedomWebHiggs bundles were first introduced by Hitchin in 1987, for the specific case where the holomorphic vector bundle E is over a compact Riemann surface. Further, Hitchin's … theo roosevelt bioWebparabolic Higgs bundles (respectively, local systems), confirming a conjecture of Boalch in these cases and extending a result of Gorsky–Nekrasov–Rubtsov. Using the McKay … shropshire life magazine