Higgs bundles and local systems

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 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

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Web1. Appliances & Repair, Electronics Repair. Serving Bartlesville and the Surrounding Area. “In 2015 I purchased a rather expensive HVAC system from Sears. Following installation Sears had to come out several times as it was not installed correctly. Fast forward 2 … 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 … easy bread machine pizza dough https://pushcartsunlimited.com

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Web30 de jan. de 2024 · Rank 2 -adic local systems and Higgs bundles over a curve. Rank 2. -adic local systems and Higgs bundles over a curve. Let be a smooth, projective, and … 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 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 … easy bread machine white bread

Higgs Bundles and Local Systems on Riemann Surfaces

Category:Higgs bundles and local systems on Riemann surfaces

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Higgs bundles and local systems

Rank 2 $\\ell$-adic local systems and Higgs bundles over a curve

Web5 de dez. de 2024 · Higgs bundles and local systems, Publ. Mathématiques de l’IHÉS 75 (1992), p. 5-95 (numdam:PMIHES_1992__75__5_0, MR94d:32027) An early conception of presentable ∞ \infty-categorues and ∞ \infty-toposes (the term seems to originate here) via (what later were called) model toposes: 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

Higgs bundles and local systems

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Web30 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 .

WebIn 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… 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...

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 … 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 …

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 endomorphism equals the number of stable logarithmic Higgs bundles of rank and degree coprime to , with a fixed residue, up to a power of . easy bread machine recipe regular flourWebThe 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. cupcake company name ideasWeb1 de set. de 2007 · Today, Higgs bundles are the subject of research in several areas such as non-abelian Hodge theory, Langlands, mirror symmetry, integrable systems, … easy bread baking in dutch ovenWeb1 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... easy breadmaker cinnamon rollsWebThe 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. easy bread maker bunsWebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … easy bread crumb recipeWeblocal 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 … cupcake connection