Higgs bundles and local systems

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 … 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 …

[1402.4203] Higgs bundles and local systems on Riemann surfaces …

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 ... Webamong three objects: Higgs bundles (Dolbeault side), integrable connections (de Rham side) and representations of the fundamental group (Betti side). The relation between Higgs bundles and in-tegrable connections is established with the help of harmonic metrics, while integrable connections how is unemployment down https://gpstechnologysolutions.com

Higgs bundles and local systems : Simpson, Carlos Mathematiker ...

Web17 de fev. de 2014 · Higgs bundles and non-abelian Hodge theory provide holomorphic methods with which to study the moduli spaces of surface group representations in … 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 … Web1 de out. de 1996 · Hilbert Schemes as Moduli of Higgs Bundles and Local Systems M. Groechenig Mathematics 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… Expand 19 PDF how is unemployment funded in california

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Category:arXiv:2212.04939v2 [math.AG] 6 Mar 2024

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Higgs bundles and local systems

Hitchin fibration under ramified coverings - ScienceDirect

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 …

Higgs bundles and local systems

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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 … Web28 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 …

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 … 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 structure. The notion of a filtered local system is a local system with filtration on each puncture. This correspondence preserves the rank and permutes residue data

WebSteven 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 … Web4 de dez. de 2007 · On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles of any order.

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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... how is unemployment insurance paidWebThe 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. how is unemployment measured in irelandWebHiggs 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 how is unemployment measured quizletWeb28 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 … how is unemployment rate calculated in usWebIn this paper, we study the existence of Poisson metrics on flat vector bundles over noncompact Riemannian manifolds and discuss related consequence, specially on the applications in Higgs bundles, towards generalizing… how is unemployment insurance financedWeb18 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 … how is unemployment numbers figuredWeb30 de jan. de 2024 · [Submitted on 30 Jan 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 field and a subset of closed points. Let and be their base changes to an algebraic closure of . how is unemployment measured in canada