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The ends of the hitchin moduli space

WebOct 2, 2024 · We review recent work on the compactification of the moduli space of Hitchin's self-duality equation. We study the degeneration behavior near the ends of this moduli … WebSep 30, 2024 · Solutions of Hitchin’s self-duality equations correspond to special real sections of the Deligne–Hitchin moduli space—twistor lines. A question posed by Simpson in 1997 asks whether all real sections give rise to …

Limiting configurations for solutions of Hitchin

WebContribution to the Special Issue on Geometry and Physics of Hitchin Systems. An Introduction to Higgs Bundles via Harmonic Maps. Qiongling Li Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China ... Mazzeo R., Swoboda J., Weiss H., Witt F., Ends of the moduli space of Higgs bundles, Duke Math. J. 165 (2016), … WebModuli Spaces. David D. Ben-Zvi. Published 2004. Mathematics. Many of the most important problems in mathematics concern classification. One has a class of mathematical … smith wesson 629 nra https://breathinmotion.net

arXiv:1004.0245v2 [math.AG] 21 Sep 2010

WebFeb 9, 2012 · A string theoretic framework is presented for the work of Hausel and Rodriguez-Vilegas as well as de Cataldo, Hausel and Migliorini on the cohomology of character varieties. The central element of this construction is an identification of the cohomology of the Hitchin moduli space with BPS states in a local Calabi-Yau threefold. … WebNov 4, 1997 · Nigel Hitchin. This paper considers the natural geometric structure on the moduli space of deformations of a compact special Lagrangian submanifold of a Calabi … WebOct 2, 2024 · We prove that the asymptotic rate of convergence for gauged tangent vectors to the moduli space has a precise polynomial expansion, and hence that the the difference between the two sets of metric ... river island liffey valley

Hitchin system - Wikipedia

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The ends of the hitchin moduli space

Limiting configurations for solutions of Hitchin

WebEnter the email address you signed up with and we'll email you a reset link. WebOct 3, 2024 · Such families of explicit approximate solutions have already proved useful for answering finer questions about the asymptotic geometry of the Hitchin moduli space. …

The ends of the hitchin moduli space

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WebHitchin moduli space, with respect to the Poisson structure specified by the complexified Fenchel-Nielsen coordinates [8, 9]. Let us summarize our main results in more detail. The vev of a line operator is a holomorphic function of aand b, which take values in the complexified Cartan subalgebra 2. Webof Axelrod, Della Pietra and Witten [ADW], Hitchin [H], Faltings [Fal] and Thad-deus [Th], Beauville & Laszlo [BL], Narasimhan and Ramadas [NR], Ramadas [R] and Laszlo [La1] all centered around the application of geometric quantization on the moduli space of flat connections on surfaces, culminating in a gauge theoretic

Web1 day ago · The moduli space H (X, D, d) is a normal variety of dimension 2 (n − 3 + 4 g X), if it is nonempty. For instance see [23, Theorem 5.2] and our Remark 3.4. Closely related, is the moduli space of parabolic vector bundles Bun (X, D, d), which is a normal variety of dimension n − 3 + 4 g X, if the stable locus is nonempty.

WebFeb 5, 2015 · We review recent work on the compactification of the moduli space of Hitchin's self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set of generic ... WebOct 3, 2024 · Such families of explicit approximate solutions have already proved useful for answering finer questions about the asymptotic geometry of the Hitchin moduli space. …

WebApr 1, 2024 · Recently in [FMSW22], the authors extended this result to the moduli space of parabolic SLp2, Cq-Higgs bundles, where the Higgs fields admit simple poles, and they showed that the moduli space of ...

WebThis provides a new proof, via gluing methods, for elements in the ends of the Higgs bundle moduli space and identifies a dense open subset of the boundary of the compactification … smith wesson 637 performance centerWebMay 17, 2010 · We discuss the relation between Liouville theory and the Hitchin integrable system, which can be seen in two ways as a two step process involving quantization and hyperkaehler rotation. The modular duality of Liouville theory and the relation between Liouville theory and the SL(2)-WZNW-model give a new perspective on the geometric … smith wesson 64Webby Simpson in [15], the associated twistor space may be interpreted as a moduli space of -connections. A further key property of the twistor space is the existence of a C -action extending the one de ned by Hitchin on the Higgs moduli space. The Higgs and de Rham moduli spaces each have distinguished holomorphic Lagrangian submanifolds which ... smith wesson 629 for saleWebJul 4, 2024 · Laura Fredrickson speaking at BIRS workshop, Higgs Bundles and Harmonic Maps of Riemann Surfaces, on Wednesday, July 4, 2024 on the topic: The ends of the Hitchin moduli space. river island long giletWebMy research program centers around the asymptotic geometry of the Hitchin moduli space and K3 surfaces. One main goal is to address the beautiful conjectural description of the … smith wesson 637 gunsmokeWebThe Hitchin moduli space The Hitchin moduli space is the moduli space of solutions of the following PDEs on C: Fzz¯ −[φz,φz¯] = 0, Dz¯φz = Dzφz¯ = 0. Here φz,φz¯ are components … smith wesson 640WebJul 6, 2024 · Abstract: Hitchin’s equations are a system of gauge theoretic equations on a Riemann surface that are of interest in many areas including representation theo... smith wesson 640 pro