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Higgs bundles and local systems

Webrelates 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]. Web18 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 …

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

WebIn books like Hatcher's, they use the word "bundle", not "locally constant sheaf". Instead of "local system" words like "bundle of groups" are used. Moreover it looks like you … 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 … how are mineral ions absorbed by root cells https://brysindustries.com

Hilbert Schemes as Moduli of Higgs Bundles and Local Systems …

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. WebThe correspondence between Higgs bundles and local systems can be viewed as a Hodge theorem for non-abelian cohomology. — Carlos T. Simpson [ 67] Download chapter PDF 1 Introduction Hodge theory bridges the topological, smooth and holomorphic worlds. 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. how many meters in a meter stick

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

Category:Higgs Bundles and Local Systems on Riemann Surfaces

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Higgs bundles and local systems

Wild non-abelian Hodge theory on curves Compositio …

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 … Web7.4 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 …

Higgs bundles and local systems

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Web1 de set. de 2007 · We start with the definition: A Higgs bundle is a pair (E, φ) where E is a holomorphic vector bundle and φ, the Higgs field, is a holomorphic 1-form with values in the bundle of... WebHiggs bundles and local systems Carlos T. Simpson Publications Mathématiques de l'Institut des Hautes Études Scientifiques 75 , 5–95 ( 1992) Cite this article 1011 Accesses 402 Citations 3 Altmetric Metrics Download to read the full article text References

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 … WebHá 1 dia · The genericity ensures that such an -adic local system is automatically irreducible. We show that the number of these -adic local systems fixed by Frobenius …

Web24 de jun. de 2012 · We construct five families of two-dimensional moduli spaces of parabolic Higgs bundles (respectively local systems) by taking the equivariant Hilbert scheme of a certain finite group acting... 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 …

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

Web1 de set. de 2024 · In this paper, we define the concept of twisted λ-flat bundles over complex manifolds and establish the Hitchin-Kobayashi correspondence for it over Gauduchon manifolds, that is, we prove that... how many meters in a tonWebA Higgs bundle on X is a pair consisting of a vector bundle E on X and a Higgs field θ given by a morphism of locally free sheaves where denotes the sheaf of 1-forms on X. … how many meters in a km in a meterhow many meters in a kilometerWebHilbert Schemes as Moduli of Higgs Bundles and Local Systems Abstract: We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local … how are minerals cycled from land to waterWeb3 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 … how many meters in a literWeb28 de dez. de 2016 · Higgs Bundles and Local Systems on Riemann Surfaces Authors: Richard Wentworth University of Maryland, College Park Abstract These notes are based … how are minerals absorbed by plantsWebSteven B. Bradlow, Oscar García-Prada, and Peter B. Gothen. A Higgs bundle is a holomorphic vector bundle together with a Higgs field. Such objects first emerged … how many meters in a kilometer chart