Higgs bundles and teichmuller space

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Web11 de jan. de 2024 · This course is an introduction to the moduli space of Higgs bundles, introduced by Hitchin in 1987 and sometimes called the Hitchin moduli space. It is a … Web1 de abr. de 1997 · In this paper we study the relation between parabolic Higgs vector bundles and irreducible representations of the fundamental group of punctured Riemann …

SO (p, q) -Higgs bundles and Higher Teichmüller components

WebThe universal Teichmuller space, introduced by Bers in 1965, is an in nite space that naturally contains all the Teichmuller space. In the same spirit, we propose a universal … http://math.bu.edu/keio2024/talks/Inagakitalk.pdf ireland us embassy

Abelian varieties and Riemann surfaces with generalized …

Web8 de mar. de 2024 · Abstract: Classical Teichmuller space encodes complex structures on a closed oriented surface but may also be identified with the space of hyperbolic structures or as a distinguished component in the $PSL(2,\R)$-character variety for the surface. These different perspectives lead to interesting generalizations known as higher Teichmuller … Web00:00 Abstract I will review the basic concepts of Higgs bundles and the moduli space of Higgs bundles, and then focus the non-Abelian Hodge correspondence: relation between the moduli space of Higgs bundles with harmonic maps and the character variety. Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichm\"uller spaces. Recall that the Teichm\"uller space of a compact surface … order numbers activity 1st grade

$Stability conditions and Teichm\"uller space$

Higgs bundles and higher Teichmüller spaces - NUS Mathematics

WebAbstract: This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmuller spaces. Recall that the Teichmuller space of a compact surface can be identified with a certain connected component of the moduli space of representations of the fundamental group of the surface into $\mathrm {PSL} (2, {\mathbb {R}})$. WebIn these series of lectures, we consider the moduli space of G-Higgs bundles over a compact Riemann surface X, and its correspondence with the moduli space of … order numbers smallest to largest calculatorWebpurpose of this note is to introduce the theory of Higgs bundles, with a strong emphasis put on the role of harmonic maps. We will begin with an overview of Fricke-Teichmuller … ireland usa cricket

"WebTEICHMULLER SPACES ¨ STEVEN BRADLOW ... Moduli spaces of Higgs bundles 38 6.1. Stability conditions and moduli spaces 38 6.2. Local structure of the moduli spaces 39 6.3. The Hitchin map 40 6.4. The Hitchin–Kobayashi correspondence 41 7. The generalized Cayley correspondence 42 " - Higgs bundles and teichmuller space

Higgs bundles and teichmuller space

Harmonic Maps and Teichmull¨ er Theory - UMD

Web2.1.3 Quadratic diﬀerentials and Teichmuller¨ maps. . . . . . . 9 ... • M(S,r) = the moduli space of polystable Higgs bundles of rank ron S (Section 3.2.1). 6 Georgios D. Daskalopoulos and Richard A. Wentworth 2 Teichmull¨ er Space and Extremal Maps • 2.1 The Teichmull¨ er Theorems Web7 de fev. de 2024 · Date/Time:17 Apr 2024 15:00 Venue: S17 #05-11 SR5 Speaker: Oscar Garcia-Prada, ICMAT, Madrid Higgs bundles and higher Teichmüller spaces Some...

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Web25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmuller spaces. Recall that the Teichmuller space of a compact surface … Webimportant properties and interpretations. Chapter 5 concerns the Higgs bundle moduli space and the ways it generalises and compares to the stable bundle moduli space. In …

WebThe notion of a Higgs bundle was introduced by Hitchin in [14] and has been widely studied from di erent points of view. The moduli space of Higgs bundles includes Teichmuller space when we consider discrete and faithful representations to SL(2;R) (see [10], [32]) and further generalizes to the concept of higher Teichmuller WebSearch results for citedby:recid:1809798. Number of results: 7 ≪ < page 1 of 1 > ≫ Brief list Raw JSON

Web14 de nov. de 1995 · In this paper we study the relation between parabolic Higgs bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson. We generalize... Web5 de abr. de 2014 · Together, these two results allow the character variety for representations of the fundamental group of a Riemann surface in a Lie group G to be identified with a moduli space of holomorphic objects, known as G -Higgs bundles.

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http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1809798 ireland used cars hodgenville kyWeb25 de jan. de 2024 · This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmüller spaces. Recall that the Teichmüller space of a compact surface … order numbers to 10 000Webwith G0ˆG reductive and (E;’) stable as a G0-Higgs bundle The moduli space of polystable G-Higgs bundles M(X;G) is the set of isomorphism classes of polystable G-Higgs … ireland usa rugbyWeb8 de mar. de 2024 · These different perspectives lead to interesting generalizations known as higher Teichmuller spaces. Higgs bundles on Riemann surfaces are holomorphic bundles with an auxiliary feature known as the Higgs field. With roots in physical and mathematical gauge theory they have moduli spaces with rich algebraic and geometric … ireland usa flightsWebfolds. In Chapter 7 we geometrically quantize the Higgs line bundle moduli space, and investigate the di culties of generalising the techniques used to the higher rank spaces. In particular we construct a projectively at Hitchin connection on the bundle of quantum spaces over Teichmuller space. As far as the author is aware, this is an original ... order numbers to 10 000 year 4Web14 de dez. de 2024 · We introduce the notions of deformation Higgs bundle and Riemann-Finsler metric on the moduli space of polarized varieties. We also use the Higgs-de … ireland usa populationWebIntroduction What is a Higgs bundle? I X { closed Riemann surface of genus g; I K X = T1;0X { the holomorphic cotangent bundle of X. De nition A Higgs bundle on X is a pair (E;˚), where I E !X is holomorphic vector bundle; I ˚is a holomorphic 1-form with values in End(E), i.e., ˚2H0(X;End(E) K X). Discrete invariants: d = deg(E); n = rk(E): Example order numbers to 100