Higgs bundle and local system
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 were first introduced by Hitchin in 1987, for the specific case where the holomorphic vector bundle E is over a compact Riemann surface. Further, Hitchin's …
Higgs bundle and local system
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Web1 de set. de 2024 · Higgs bundles and local systems Article Dec 1992 Carlos Simpson View Differential Geometry of Complex Vector Bundles Article S. Kobayashi View Twisted Harmonic Maps and the Self-Duality... WebHiggs bundles on Σ identifies the weight filtration Won the cohomology groups of MB with the perverse filtration Pinduced by the projective Hitchin map on the …
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 ... WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs …
Web17 de fev. de 2014 · Higgs bundles and local systems on Riemann surfaces Authors: Richard Wentworth University of Maryland, College Park Abstract No full-text available ... Web1 de set. de 2007 · A Higgs bundle is a holomorphic vector bundle together with a Higgs field. Such objects first emerged twenty years ago in Nigel Hitchin's study of the self-duality equations on a Riemann...
Web1 de out. de 1996 · Precisely which parabolic bundles occur in stable K (D) pairs and stable Higgs bundles is determined. Using Morse theory, the moduli space of parabolic Higgs bundles is shown to be a non-compact, connected, simply connected manifold, and a computation of its Poincare polynomial is given. View PDF on arXiv Save to Library …
WebIt is true for local systems with complex coefficients. The rough picture is this: A flat connections is equivalent to a local system and the parallel transport of this connection … florists in grosse pointe michiganWebdetermines both a Higgs bundle (E,ϕ) and a local system L. In fact, it determines a family of λ-connections for all λ∈ C, with the Higgs bundles arising at λ= 0 and the local system, or equivalently a flat connection, at λ= 1. The NAHC (“Kobayashi-Hitchin correspondence” in Mochizuki’s terminology) says that this sets up an ... greece bible mapWebWe 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 … greece betting sitesWeb3 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 … greece bicycleWeb30 de jan. de 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 … florists in groesbeck txWebPurchasing 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 … greece bicycle tripsWebHiggs 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 … greece bible