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 . 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].
W H A T I S . . . a Higgs Bundle? - American Mathematical Society
Web1 de set. de 2024 · In this paper, we define the concept of twisted λ-flat bundles over complex manifolds and establish the Hitchin-Kobayashi correspondence for it over Gauduchon manifolds, that is, we prove that... 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. how to stop typing suggestions in edge
Poisson metrics and Higgs bundles over noncompact Kähler …
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 … 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 … 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 … read reason and write pdf