Higgs bundles and local systems

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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... Web6 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.

EUDML Higgs bundles and local systems

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 … 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. ray car st-flavien

Poisson metrics and Higgs bundles over noncompact Kähler …

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 Web28 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 … 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 … ray cashen louisville ky

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

Hilbert Schemes as Moduli of Higgs Bundles and Local Systems …

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... 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 … ray cash clemsonWebThe 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. simpler\u0027s coaching

"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. … " - Higgs bundles and local systems

Higgs bundles and local systems

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

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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 … 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 ...

WebHIGGS HUB is where we bring brands to life using Brandketing (branding+marketing) Strategies so you can be successful! 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).

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 . 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 …

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 …

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 … ray cash care classWeb1 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, … raycash inscriptionWeb28 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 … ray cash johnny cash\\u0027s fatherWeb1 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... ray cash deathWeb5 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: ray caruth\u0027s release dateWeb3 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 … ray cashen william raveisWebHiggs 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 … ray cashley testimonial