Higgs bundles and local systems

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August undefined, 2024

Web4 de dez. de 2007 · On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles of any order. 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...

Hitchin fibration under ramified coverings - ScienceDirect

WebHá 1 dia · The genericity ensures that such an -adic local system is automatically irreducible. We show that the number of these -adic local systems fixed by Frobenius endomorphism equals the number of stable logarithmic Higgs bundles of rank and degree coprime to , with a fixed residue, up to a power of . WebHIGGS HUB is where we bring brands to life using Brandketing (branding+marketing) Strategies so you can be successful! how many medical codes are there

[PDF] MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND …

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 … WebHIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES RICHARD A. WENTWORTH Contents 1. Preface 1 2. The Dolbeault Moduli Space 3 2.1. Higgs … http://www.numdam.org/item/PMIHES_1992__75__5_0/ how are hot wheels made video

Stratifications on the nilpotent cone of the moduli space of Hitchin ...

Web1 de set. de 2007 · Today, Higgs bundles are the subject of research in several areas such as non-abelian Hodge theory, Langlands, mirror symmetry, integrable systems, … WebThe Corlette-Donaldson theorem relating the moduli spaces of Higgs bundles and semisim-ple representations of the fundamental group. A description of the oper moduli space and its relationship to systems of holomorphic di erential equations, Higgs bundles, and the Eichler-Shimura isomorphism. Date: March 12, 2012. how are houdini and tik tok similarWebamong three objects: Higgs bundles (Dolbeault side), integrable connections (de Rham side) and representations of the fundamental group (Betti side). The relation between Higgs bundles and in-tegrable connections is established with the help of harmonic metrics, while integrable connections how are hourglasses made

"Weblocal systems and ﬁltered stable degree 0 Higgs bundles over Σ−S. The notion of a ﬁltered Higgs bundle is essentially the same as a Higgs bundle with a quasi-parabolic structure. The notion of a ﬁltered local system is a local system with ﬁltration on each puncture. This correspondence preserves the rank and permutes residue data " - Higgs bundles and local systems

Higgs bundles and local systems

Stratifications on the nilpotent cone of the moduli space of Hitchin ...

Web18 de fev. de 2014 · Higgs bundles and local systems on Riemann surfaces. Lecture notes from the Third International School on Geometry and Physics at the Centre de … Web3 de jul. de 2024 · A Higgs bundle on a Riemann surface is a pair consisting of a holomorphic vector bundle together with an endomorphism valued holomorphic one-form, called the Higgs field. Taking the characteristic polynomial of the Higgs field defines the Hitchin map, which is a proper map from the moduli space of Higgs bundles to a vector …

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WebHiggs bundles and local systems. Publications Mathématiques de l'IHÉS, Tome 75 (1992), pp. 5-95. [1] L. V. Ahlfors, An extension of Schwarz's lemma, Trans. Amer. … WebPurchasing for others. On Higg.org platform, you can purchase the subscription plan (s) for other accounts. On the subscription page, you can choose “Purchase for Others”. Select …

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 … WebHá 1 dia · The genericity ensures that such an -adic local system is automatically irreducible. We show that the number of these -adic local systems fixed by Frobenius …

http://math.huji.ac.il/~ayomdin/Notes/LearningSeminars/SimpsonLecture.pdf 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 …

WebHiggs bundles and local systems by Simpson, Carlos Mathematiker, Frankreich, 1962. Publication date 1992 Topics ENDLICHE P-GRUPPEN (ALGEBRA), BLÄTTERUNGEN …

WebSteven B. Bradlow, Oscar García-Prada, and Peter B. Gothen. A Higgs bundle is a holomorphic vector bundle together with a Higgs ﬁeld. Such objects ﬁrst emerged … how are hot tubs poweredWebHoje · Abstract. We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map π: Y → X between compact Riemann surfaces, we may pull back a Higgs bundle from X to Y, the lifted Higgs bundle tends to have many apparent singularities ... how many medical careers are thereWebHiggs bundles and local systems Carlos T. Simpson Publications Mathématiques de l'Institut des Hautes Études Scientifiques 75 , 5–95 ( 1992) Cite this article 1011 Accesses 402 Citations 3 Altmetric Metrics Download to read the full article text References how are hot spots formedWeb28 de dez. de 2016 · Higgs Bundles and Local Systems on Riemann Surfaces. In: Alvarez Consul, L., Andersen, J., Mundet i Riera, I. (eds) Geometry and Quantization of Moduli … how are house fires startedWeb6 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 many medical offices in the usaWebHiggs bundles and local systems Carlos T. Simpson Publications Mathématiques de l'IHÉS (1992) Volume: 75, page 5-95 ISSN: 0073-8301 Access Full Article Access to full … how are hot spots createdWebHilbert Schemes as Moduli of Higgs Bundles and Local Systems Abstract: We construct five families of 2D moduli spaces of parabolic Higgs bundles (respectively, local … how are house committees formed