Higgs bundles and local systems
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. 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 …
Higgs bundles and local systems
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WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs …
Web1 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... 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).
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 … WebHiggs bundles and local systems by Simpson, Carlos Mathematiker, Frankreich, 1962. Publication date 1992 Topics ENDLICHE P-GRUPPEN (ALGEBRA), BLÄTTERUNGEN …
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
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 … how many pages is 4000 words on wordWeblocal 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 how bright is 150 lumens ledWebPurchasing 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 … how bright is 1350 lumensWeb30 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 … how many pages is a 10 min speechWebThe 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. how bright is 14000 lumensWeb24 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... how bright is 130 lumensWebDol(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 ... how bright is 1300 lumens