Higgs bundle and local system

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August undefined, 2024

WebHiggs bundles and local systems Simpson, Carlos T. Publications Mathématiques de l'IHÉS, Tome 75 (1992), pp. 5-95. Détail Export Comment citer MR: 94d:32027 Zbl: … 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 …

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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. Web6 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. bkp medicine

Hilbert Schemes as Moduli of Higgs Bundles and Local Systems

http://www.numdam.org/item/PMIHES_1992__75__5_0/ WebThe Corlette-Donaldson theorem relating the moduli spaces of Higgs bundles and semisim-ple representations of the fundamental group. A description of the oper moduli space and its relationship to systems of holomorphic di erential equations, Higgs bundles, and the Eichler-Shimura isomorphism. Date: March 12, 2012. 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... daughter of darkness 1948 ok.ru

An Introduction to the Di erential Geometry of Flat Bundles …

The Higgs

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 … daughter of cronus wsjWebHiggs 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 … bkpp international

"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 . … " - Higgs bundle and local system

Higgs bundle and local system

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 … 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 ...

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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 … 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 …

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). 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 …

WebRecall that non-abelian Hodge theory relates two moduli spaces: Local systems (at connections or representations of the fundemental group) on X, and (certain) Higgs bundles on X. The space of Higgs bundles has an action of the group C given by scaling the Higgs eld. Let me recall how the non-abelian Hodge correspondence goes. Suppose … WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs …

WebHiggs bundles and local systems Carlos T. Simpson Publications Mathématiques de l'IHÉS (1992) Volume: 75, page 5-95 ISSN: 0073-8301 Access Full Article Access to full …

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 … daughter.of.darknessWeb17 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 ... bkp perspectiveWebPurchasing 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 … bkp plastics s.r.oWeb7.4 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 … bkp procedureWeb3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! … daughter of darkness 1948 plotWeb5 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. bkpp real coupleWeb3 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 … bkpp insurance