Higgs bundles and local systems
WebHIGGS HUB is where we bring brands to life using Brandketing (branding+marketing) Strategies so you can be successful! 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.
Higgs bundles and local systems
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Web1 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, … 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 …
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 … 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
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 … 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 ...
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 …
WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … flushing michigan on mapWeb6 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. flushing michigan property tax searchWebNOTES 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. flushing michigan historical societyflushing michigan police departmentWeb1 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 greenfoot shooter gameWeb1 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... flushing michigan police deptWeb5 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: flushing michigan school board election