WebClosely 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 … 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.
Hilbert Schemes as Moduli of Higgs Bundles and Local Systems
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 … 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... cryptorecovery.biz reviews
W H A T I S . . . a Higgs Bundle? - American Mathematical Society
WebA 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. WebHiggs bundles and local systems Simpson, Carlos T. Publications Mathématiques de l'IHÉS, Tome 75 (1992), pp. 5-95. Détail Export Comment citer MR: 94d:32027 Zbl: … WebA 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 … dutch east india company in indonesia