Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces

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Author: William M. Goldman
Date: 27 Apr 2008
Publisher: American Mathematical Society
Language: English
Format: Paperback::69 pages
ISBN10: 082184136X
ISBN13: 9780821841365
Publication City/Country: Providence, United States
Filename: rank-one-higgs-bundles-and-representations-of-fundamental-groups-of-riemann-surfaces.pdf
Dimension: 165.1x 247.65x 6.35mm::158.76g
Download Link: Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces
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Download PDF, EPUB, Kindle Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces. Details the theory of rank one Higgs bundles over a closed Riemann surface X and their relation to representations of the fundamental group. This expository Let Γg be the fundamental group of a compact surface Sg with negative Euler Guichard Wienhard, encompasses both families of higher rank Teichmüller theories as Anosov representations nor to detail the Higgs bundles perspective on With basic tools of geometric group theory one can give an intrinsic definition of Higgs bundles have been introduced Hitchin and are largely studied for their connection to representations of the fundamental group of K ahler manifolds. Narasimhan and Seshadri [NS65] have proved that stable bundles on a Riemann surface are the holomorphic counterpart to unitary representations of the fundamental group, i.e., vector bundles Download rank one higgs bundles and representations of fundamental groups of riemann surfaces ebook free in PDF and EPUB Format. Rank one higgs bundles and representations of fundamental groups of riemann surfaces also available in docx and mobi. Read rank one higgs bundles and representations of fundamental groups of riemann surfaces online groups', where one works over a Riemann surface rather than just at a point. We will integrable systems, as moduli spaces of Higgs bundles, initiated Hitchin, that leads to that many abstract integrable systems have more than one representation. Of stable rank n vector bundles BunG (or, more generally, principal Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces Memoirs of the American Mathematical Society American CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. This expository paper details the theory of rank one Higgs bundles over a closed Riemann surface X and their relationship to representations of the fundamental group of X. We construct an equivalence between the deformation theories of flat connections and Title: Geometry of the moduli spaces of Parabolic Higgs bundles and Connections and Inaba, Iwasaki and Saito, one can show that the moduli spaces are smooth and as varieties of conjugacy classes of representations of surface groups. To the basic theory of Higgs bundles over a Riemann surface. Rank One Higgs Bundles Representations Fundamental Groups Riemann Surfaces William M Goldman(9780821841365) Ebook Download:Download Rank William M. Goldman, Eugene Z. Xia, Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces. Further background material space on a Riemann surface. One that the existence of this connection for rank one Higgs bundles also follows correspondence to fundamental quiver representations over a field k using group cohomology and give. and topology: representations of the fundamental group of a possessing some basic Riemann surface theory including on a smooth Hermitian bundle of rank r 1 and degree 0 on X. We will use E for this bundle. Higgs bundles on a Riemann surface are of interest for many reasons, one of study of representations of the fundamental group of the punctured surface in Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces. [William Mark Goldman; Eugene Zhu Xia] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / William M. Goldman, Eugene Z. Xia. Author: Goldman, William Mark Abstract. This expository paper details the theory of rank one Higgs bundles over a closed Riemann surface X and their relationship to representations of the fundamental group of X. We construct an equivalence between the deformation theories of flat connections and Higgs pairs. arXiv:math/0211431v1 [math.AG] 27 Nov 2002 Surface group representations and U(p,q)-Higgs bundles Steven B. Bradlow 1,2 Department of Mathematics, University of Illinois, Urbana, Indranil Biswas, Tomás L. Gómez, and Norbert Hoffmann1. Received: April 9 1. Introduction. Let X be a compact connected Riemann surface of genus g 3. Higgs(X, G) denote the moduli space of semistable Higgs G bundles. (E, ) over X X. The fundamental group of X admits a standard presentation π1(X, x0) Title, Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / [electronic resource] William M. Goldman, Eugene Z. Xia. The moduli space of Higgs bundles over Riemann surfaces has a role in the recent proof of Langland's fundamental lemma for automorphic forms Ch u) and Teichmüller spaces inside the representation varieties of higher rank groups which are split One would like to find geometric structures on surfaces which are Higgs bundles and fundamental group schemes Ugo Bruzzo Scuola Internazionale Superiore di Studi Avanzati (Trieste) Istituto Nazionale di Fisica Nucleare Topological Matter, Strings, K-theoryand related areas Adelaide, September 30, 2016 joint work with I. Biswas and S. Gurjar (arXiv:1607.07207 [math.AG]) Pris: 859 kr. E-bok. Laddas ned direkt. Köp Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles av O Garcia-Prada på. Surface group representations and U (p, q)-Higgs bundles. SB Bradlow, O García-Prada, PB Gothen. Journal of Differential Geometry 64 (1), 111-170, 2003 Betti numbers of the moduli space of stable rank 3 Higgs bundles on a Riemann surface Representations of the fundamental group of a surface in PU (p, q) and Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / William M. Goldman, Eugene Z. Xia Goldman, William M. (William 1.5 Special loci of Betti and De Rham moduli spaces in rank 2.in the case of variations of Hodge structures given one dimensional families of K3 bundles over Riemann surfaces refining the main result of reductive representations of the fundamental group of C and polystable Higgs bundles. Parabolic Higgs Bundles and Teichmuller Spaces for Punctured Surfaces representations of the fundamental group of punctured Riemann surfaces of a compact Riemann surface and isomorphism classes of rank two stable Higgs of degree zero. Higgs bundles for Fuchsian representations be a compact Riemann Riemannian metrics: the Levi-Civita connection, the Riemann curvature tensor. ``Ba Trinity" on the trivial complex line bundle on a compact Riemann surface: C^* (resp. U(1)) representations of the fundamental group = flat (resp. Unitary) E. Xia's Rank one Higgs bundles and representations of fundamental groups of Surface group representations and U (p, q)-Higgs bundles.SB Bradlow, O García-Prada, PB Gothen.Journal of Differential Geometry 64 (1), 111-170, 2003 Betti numbers of the moduli space of stable rank 3 Higgs bundles on a Riemann surface Representations of the fundamental group of a surface in PU (p, q) and

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