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 … 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.
Higgs bundles and local systems
Did you know?
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 … 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 …
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 … 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 …
WebThe 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. WebHIGGS HUB is where we bring brands to life using Brandketing (branding+marketing) Strategies so you can be successful!
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 …
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. irish shamrock earringsWebHoje · 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 ... irish shamrock tattoohttp://math.huji.ac.il/~ayomdin/Notes/LearningSeminars/SimpsonLecture.pdf port colborne theaterWebamong 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 irish shamrock necklaceWeb1 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 port colborne wainfleet chamber of commerceWebA 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. … irish shamrock flagWeb7.4 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 … irish shamrock cookies