Higgs bundle and local system

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Web1 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-duality equations on a Riemann... WebIt 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 …

Geometry of moduli spaces of Higgs bundles - Semantic Scholar

WebA 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-duality equations on a … Web28 de dez. de 2016 · Higgs Bundles and Local Systems on Riemann Surfaces. In: Alvarez Consul, L., Andersen, J., Mundet i Riera, I. (eds) Geometry and Quantization of Moduli … land for sale near millbrook al

HIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES

WebWe construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local systems) by taking the equivariant Hilbert scheme of a certain finite group acting … WebPurchasing for others. On Higg.org platform, you can purchase the subscription plan (s) for other accounts. On the subscription page, you can choose “Purchase for Others”. Select … WebHilbert Schemes as Moduli of Higgs Bundles and Local Systems Abstract: We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local systems) by taking the equivariant Hilbert scheme of a certain finite group acting on the cotangent bundle of an elliptic curve (respectively, twisted cotangent bundle). land for sale near mosby montana

HIGGS BUNDLES AND LOCAL SYSTEMS ON ELLIPTIC CURVES

$\\ell$-adic local systems and Higgs bundles: the generic case

Webparabolic Higgs bundles (respectively, local systems), conﬁrming a conjecture of Boalch in these cases and extending a result of Gorsky–Nekrasov–Rubtsov. Using the McKay … WebClosely related to the theory of Higgs bundles is the theory of local systems (i.e., vector bundles with a flat connection). The works of Hitchin and Simpson [51, 52] have … land for sale near mobile bayWeb30 de jan. de 2024 · Rank 2. -adic local systems and Higgs bundles over a curve. Hongjie Yu. Let be a smooth, projective, and geometrically connected curve defined over a finite … help with obs studio

"WebHoje · Abstract. We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map π: Y → X between compact Riemann surfaces, we may pull back a Higgs bundle from X to Y, the lifted Higgs bundle tends to have many apparent singularities ... " - Higgs bundle and local system

Higgs bundle and local system

HIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES

WebRANK 2 ℓ-ADIC LOCAL SYSTEMS AND HIGGS BUNDLES OVER A CURVE HONGJIE YU Abstract Let X be asmooth, projective,and geometricallyconnected … 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.

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Web1 de set. de 2024 · Higgs bundles and local systems Article Dec 1992 Carlos Simpson View Differential Geometry of Complex Vector Bundles Article S. Kobayashi View Twisted Harmonic Maps and the Self-Duality... WebKey words: Higgs bundles; harmonic maps; non-abelian Hodge correspondence. pdf (637 kb) tex (319 kb) ... Wentworth R.A., Higgs bundles and local systems on Riemann …

Web17 de fev. de 2014 · Higgs bundles and local systems on Riemann surfaces Authors: Richard Wentworth University of Maryland, College Park Abstract No full-text available ... 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 …

WebDol(X,r) for the rigidiﬁed moduli space of Higgs bundles (E,q: E !E W1 X) of rank r, together with an isomorphism of a ﬁber Ex ’Cr. (6) We use M Dol(X,r) for the quotient of R Dol(X,r) by the action of GLr altering the chosen isomorphism. This quotient has geometric points in bijection with polystable Higgs bundles of rank r. Remark1.1 ... 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 …

Web3 de jul. de 2024 · A Higgs bundle on a Riemann surface is a pair consisting of a holomorphic vector bundle together with an endomorphism valued holomorphic one-form, called the Higgs field. Taking the characteristic polynomial of the Higgs field defines the Hitchin map, which is a proper map from the moduli space of Higgs bundles to a vector …

Web24 de jun. de 2012 · We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local systems) by taking the equivariant Hilbert scheme of a certain finite group acting on the cotangent bundle of an elliptic curve (respectively, twisted cotangent bundle). help with ocd checkingWeb7.4 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 … help with objective on resume help with ociWeb6 de nov. de 2008 · Abstract In this paper we study the geometry of the moduli space of (non-strongly) parabolic Higgs bundles over a Riemann surface with marked points. We show that this space possesses a Poisson structure, extending the one on the dual of an Atiyah algebroid over the moduli space of parabolic vector bundles. help with ocd intrusive thoughtsWebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … help withodyssey.comWeb1 de mai. de 2005 · A. Dey, R. Parthasarathi. Published 1 May 2005. Mathematics. Proceedings of the Indian Academy of Sciences - Mathematical Sciences. The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ,G) … help with offer in compromiseWeblocal 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 … help with office 365 outlook