Higgs bundle and local system

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August undefined, 2024

WebDol(X,r) for the rigidiﬁed moduli space of Higgs bundles (E,q: E !E W1 X) of rank r, together with an isomorphism of a ﬁber Ex ’Cr. (6) We use M Dol(X,r) for the quotient of R Dol(X,r) by the action of GLr altering the chosen isomorphism. This quotient has geometric points in bijection with polystable Higgs bundles of rank r. Remark1.1 ... Web3. S.!Bradlow,!B.!Goldman,!O.!GarcíaEPrada!and!A.!Wienhard,!!Backround!notes!prepared! …

(PDF) What is ⋯ a Higgs bundle? - ResearchGate

WebHiggs bundles on Σ identiﬁes the weight ﬁltration Won the cohomology groups of MB with the perverse ﬁltration Pinduced by the projective Hitchin map on the … 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 … simple floatation method คือ

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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. WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . … WebRecall that non-abelian Hodge theory relates two moduli spaces: Local systems (at connections or representations of the fundemental group) on X, and (certain) Higgs bundles on X. The space of Higgs bundles has an action of the group C given by scaling the Higgs eld. Let me recall how the non-abelian Hodge correspondence goes. Suppose … simpleflirts scam

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

HIGGS BUNDLES AND LOCAL SYSTEMS ON RIEMANN SURFACES

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: … 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 … simple float crosswordWebparabolic Higgs bundles (respectively, local systems), conﬁrming a conjecture of Boalch in these cases and extending a result of Gorsky–Nekrasov–Rubtsov. Using the McKay … rawia international trading private limited

"Web1 de mai. de 2005 · A. Dey, R. Parthasarathi. Published 1 May 2005. Mathematics. Proceedings of the Indian Academy of Sciences - Mathematical Sciences. The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ,G) … " - Higgs bundle and local system

Higgs bundle and local system

W H A T I S . . . a Higgs Bundle? - American Mathematical Society

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 Webrelates meromorphic Higgs bundles and ﬁltered Stokes local systems on curves by taking G = GLn(C). Secondly, due to the lack of a construction of the corresponding moduli spaces, the main result in this paper is only given for categories. Despite this, the Dolbeault and de Rham moduli spaces can be constructed similarly as [20].

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WebKey words: Higgs bundles; harmonic maps; non-abelian Hodge correspondence. pdf (637 kb) tex (319 kb) ... Wentworth R.A., Higgs bundles and local systems on Riemann … Webdetermines both a Higgs bundle (E,ϕ) and a local system L. In fact, it determines a family of λ-connections for all λ∈ C, with the Higgs bundles arising at λ= 0 and the local system, or equivalently a ﬂat connection, at λ= 1. The NAHC (“Kobayashi-Hitchin correspondence” in Mochizuki’s terminology) says that this sets up an ...

WebHá 1 dia · -adic local systems and Higgs bundles: the generic case Hongjie Yu Let be a projective smooth geometrically connected curve defined over a finite field of cardinality . Let be a finite set of closed points of . Let and be the base change of , to an algebraic closure. WebHiggs 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 …

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 … WebThe non-abelian Hodge theory identifies moduli spaces of representations with moduli spaces of Higgs bundles through solutions to Hitchin's selfduality equations. On the one hand, ... local systems. Watch. Notes. Intersection number and systole on hyperbolic surfaces - Tina TORKAMAN, Harvard University (2024-06-21) Let X be a compact …

Web30 de jan. de 2024 · Rank 2. -adic local systems and Higgs bundles over a curve. Hongjie Yu. Let be a smooth, projective, and geometrically connected curve defined over a finite …

Web1 de out. de 1996 · Precisely which parabolic bundles occur in stable K (D) pairs and stable Higgs bundles is determined. Using Morse theory, the moduli space of parabolic Higgs bundles is shown to be a non-compact, connected, simply connected manifold, and a computation of its Poincare polynomial is given. View PDF on arXiv Save to Library … simple float crossword cluehttp://www.numdam.org/item/PMIHES_1992__75__5_0/ rawhyd walletsWeb1 de mai. de 2006 · We construct a Petersson-Weil type Kahler form on the moduli spaces of Higgs bundles over a compact Kahler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain determinant line bundle, equipped with a Quillen metric, on the moduli space of Higgs … rawia international trading pvt ltdWebMelting faces. Blowing minds. Cerebral jams for the masses. SoCal's own jamband, The Higgs rawi beat 8 letterWebRANK 2 ℓ-ADIC LOCAL SYSTEMS AND HIGGS BUNDLES OVER A CURVE HONGJIE YU Abstract Let X be asmooth, projective,and geometricallyconnected … simple flirty makeupWeblocal 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 … rawia from 90 day fianceWebHoje · 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 ... rawhyd leather company