Higgs bundles and local systems
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 … 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 …
Higgs bundles and local systems
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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). 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...
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 … WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs …
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. …
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...
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 . inclusion\\u0027s yWeb6 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. incarnation by adam hamiltonWebHiggs 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 … incarnation camp ct reviewWebrelates meromorphic Higgs bundles and filtered Stokes local systems on curves by taking G = GLn(C). Secondly, due to the lack of a construction of the corresponding moduli spaces, the main result in this paper is only given for categories. Despite this, the Dolbeault and de Rham moduli spaces can be constructed similarly as [20]. inclusion\\u0027s y3Web18 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 … incarnation by athanasiusWebNOTES 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. incarnation catholic academyWeb28 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 … incarnation catholic academy qvc