Higgs bundles and local systems

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August undefined, 2024

Web31 de dez. de 2013 · Abstract: 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). 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 ...

An Introduction to the Di erential Geometry of Flat Bundles …

WebHiggs bundles and local systems by Simpson, Carlos Mathematiker, Frankreich, 1962. Publication date 1992 Topics ENDLICHE P-GRUPPEN (ALGEBRA), BLÄTTERUNGEN … WebAbstract: 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 … candle chemistry arizona locations

ISOMORPHISMS BETWEEN MODULI SPACES

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. Publications Mathématiques de l'IHÉS, Tome 75 (1992), pp. 5-95. [1] L. V. Ahlfors, An extension of Schwarz's lemma, Trans. Amer. … candle chart power bi

HIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES

EUDML Higgs bundles and local systems

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: WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … candle christmas light stringsWebPurchasing 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 … fish restaurant ballito

"WebHilbert Schemes as Moduli of Higgs Bundles and Local Systems Abstract: We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local … " - Higgs bundles and local systems

Higgs bundles and local systems

-ADIC LOCAL SYSTEMS AND HIGGS BUNDLES: THE GENERIC …

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 … 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 .

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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. 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 …

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 ... WebNOTES FOR LECTURE ABOUT SIMPSON’S \HIGGS BUNDLES AND LOCAL SYSTEMS" ALEXANDER YOM DIN 1. Notations and conventions 1.1. I try to digest part of Simpson’s paper "Higgs bundles and local systems" for a learning seminar at IAS, 2024-2024. The notes are a bit disorganized. 1.2. We x X- a smooth projective variety over C.

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 . 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 …

WebA 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. …

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. candle clamshellsWeb4 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. candle cluster new worldWeb6 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. candle clip art black and whiteWeb1 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... fish restaurant barcelona portWebHá 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 … candle christmas crackersWeb18 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 restaurant balmainWebamong 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 candle coconut wax