Higgs bundles and local systems
WebHiggs bundles and local systems by Simpson, Carlos Mathematiker, Frankreich, 1962. Publication date 1992 Topics ENDLICHE P-GRUPPEN (ALGEBRA), BLÄTTERUNGEN … 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 …
Higgs bundles and local systems
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Web30 de jan. de 2024 · [Submitted on 30 Jan 2024] Rank 2 -adic local systems and Higgs bundles over a curve Hongjie Yu Let be a smooth, projective, and geometrically connected curve defined over a finite field and a subset of closed points. Let and be their base changes to an algebraic closure of . 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.
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 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
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 . WebHIGGS HUB is where we bring brands to life using Brandketing (branding+marketing) Strategies so you can be successful!
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 …
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. dr sharon giordano md andersonWeb17 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 … dr. sharon goble midlothian vaWebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … colorectal cancer anal itchingWeb3 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 … colore candy pinkWeblocal 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 colore carbon black bmwWebPurchasing 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 … colorectal cancer and menWebHiggs 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 … colorectal cancer and back pain