Higgs bundle and local system

Author: hcfg

August undefined, 2024

http://www.numdam.org/item/PMIHES_1992__75__5_0/ Web1 de mai. de 2005 · A. Dey, R. Parthasarathi. Published 1 May 2005. Mathematics. Proceedings of the Indian Academy of Sciences - Mathematical Sciences. The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ,G) …

Stratifications on the nilpotent cone of the moduli space of Hitchin ...

WebRANK 2 ℓ-ADIC LOCAL SYSTEMS AND HIGGS BUNDLES OVER A CURVE HONGJIE YU Abstract Let X be asmooth, projective,and geometricallyconnected … 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 … diamond films videography in georgia

An Introduction to Higgs Bundles via Harmonic Maps - EMIS

Webparabolic Higgs bundles (respectively, local systems), conﬁrming a conjecture of Boalch in these cases and extending a result of Gorsky–Nekrasov–Rubtsov. Using the McKay … 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 ... WebMelting faces. Blowing minds. Cerebral jams for the masses. SoCal's own jamband, The Higgs diamond film production logo

Hilbert Schemes as Moduli of Higgs Bundles and Local Systems

(PDF) What is ⋯ a Higgs bundle? - ResearchGate

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 … Web5 de abr. de 2014 · In this chapter we give an introduction to Higgs bundles and their application to the study of surface group representations. This is based on two fundamental theorems. circular inhouse production budgetWebClosely related to the theory of Higgs bundles is the theory of local systems (i.e., vector bundles with a flat connection). The works of Hitchin and Simpson [51, 52] have … circular insights

"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 … " - Higgs bundle and local system

Higgs bundle and local system

Higgs!Bundles!resources! I.The!original!sources:! G - CMUP

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 … WebKey words: Higgs bundles; harmonic maps; non-abelian Hodge correspondence. pdf (637 kb) tex (319 kb) ... Wentworth R.A., Higgs bundles and local systems on Riemann …

Did you know?

Web30 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 … 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 …

WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . Let be a finite set of closed points of . Let and be the base change of , to an algebraic closure. WebHilbert Schemes as Moduli of Higgs Bundles and Local Systems 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).

WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . … 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 …

Webrelates 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].

WebWe 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 … circular iphoneWeb28 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 … diamond filtered waterWeb17 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 ... circular indian history congress diamond films weddingWeb1 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 … circular interchangeable knitting needle setsWebHiggs 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 … diamond films las vegasWebA 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 surface and in Carlos Simp- son’s Ph.D. thesis and subsequent work on nonabelian Hodge theory. circular inground pool