Higgs bundle and local system

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 …

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

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: … 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. fish market gloucester ma https://messymildred.com

The Hitchin-Kobayashi correspondence on twisted λ-flat bundles

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 ... 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 … Web1 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) … fish market gregory hills

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Category:(PDF) What is ⋯ a Higgs bundle? - ResearchGate

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Higgs bundle and local system

Stratifications on the nilpotent cone of the moduli space of Hitchin ...

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 … 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 …

Higgs bundle and local system

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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 … 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 ...

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 … 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 ... WebHiggs 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 …

WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs …

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 … fish market hagerstown mdWeb18 de fev. de 2014 · Higgs bundles and local systems on Riemann surfaces. Lecture notes from the Third International School on Geometry and Physics at the Centre de … fish market gulf shores alWeb1 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 … can cooked shrimp be reheatedWebMelting faces. Blowing minds. Cerebral jams for the masses. SoCal's own jamband, The Higgs can cooked sausage be left out overnightWebrelates meromorphic Higgs bundles and filtered Stokes local systems on curves by taking G = GLn(C). Secondly, due to the lack of a construction of the corresponding moduli spaces, the main result in this paper is only given for categories. Despite this, the Dolbeault and de Rham moduli spaces can be constructed similarly as [20]. fish market hartford ctWebIt 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 … fish market hammond laWeb6 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. can cooked stuffed cabbage be frozen