Twisted higgs bundle
WebA twisted Higgs bundle on X is a twisted vector bundle together with a Higgs field on it. We prove that a twisted Higgs bundle on X admits an Einstein–Hermitian connection if and … http://export.arxiv.org/pdf/1705.04849
Twisted higgs bundle
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WebJul 1, 2024 · We denote by H t (r, d) the moduli space of stable twisted Higgs bundles of rank r and degree d on P 1, where gcd (r, d) = 1 (the coprime condition eliminates objects … WebJun 12, 2000 · The purpose of this work is to describe the (category of) Higgs bundles on a complex scheme X having a given cameral cover X~. We show that this category is a T_ {X~}-gerbe, where T_ {X~} is a ...
Weba ne parabolic %-Higgs bundles 9 =;: Moreover a projective moduli space for projective &-Higgs bundles 4 (P; (sj) j[jSj]; ’; L) is constructed in2.40for every homogeneous representation & and non-trivial ’. The results will be applied to obtain among others:-the moduli space of parabolic G-Higgs bundles in the special case when %is WebWe construct natural operators connecting the cohomology of the moduli spaces of stable Higgs bundles with different ranks and genera which, after numerical specialisation, recover the topological mirror symmetry conjecture of Hausel and Thaddeus concerning $\mathrm {SL}_n$ - and $\mathrm {PGL}_n$-Higgs bundles.This provides a complete description of …
WebAug 27, 2024 · We study the algebraic geometry of twisted Higgs bundles of cyclic type along complex curves. These objects, which generalize ordinary cyclic Higgs bundles, can … WebJan 1, 2024 · In §5.2 from [16] we have shown a BNR correspondence for twisted Higgs V-bundles. Let M η denote the spectral covering of M . The V -Picard group Pic V ( M η ) is defined as the group of isomorphism classes of line V -bundles; line V -bundles with faithful isotropy representations correspond to Seifert fibrations when the corresponding circle …
Webbundles on a Riemann surface. The cotangent bundle to the moduli space is canonically a symplectic manifold, points of which are principal bundles together with a twisted section known as the Higgs field. A Lagrangian fibration is found by mapping such a pair to the “characteristic polynomial” of the Higgs field.
WebFeb 27, 2024 · Abstract. We prove a closed formula counting semistable twisted (or meromorphic) Higgs bundles of fixed rank and degree over a smooth projective curve of … divyam sanskrit book class 6 solutions pdfWebThis paper concerns the moduli spaces of rank-two parabolic Higgs bundles and parabolic K(D) pairs over a smooth curve. Precisely which parabolic bundles occur in stable K(D) ... The quiver at the bottom of the twisted nilpotent cone on $$\mathbb P^1$$ P 1. Steven Rayan. 10 November 2016 European Journal of Mathematics, Vol. 3, No. 1. divya murthyWeb1.Twisted Higgs bundles 1.1. Twisted Higgs bundles and Hermitian metrics. Let(X,ω)beacom-pact K¨ahler manifold and let L be a holomorphic line bundle over X.AnL … divya muthappa boerneWebMar 17, 2024 · Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural $$\\mathbb {C}^*$$ C ∗ -action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundle to the $${{\\mathrm{Hom}}}$$ Hom -complex of two chains, and prove that stability of the chains implies stability of this new quiver … divya nail spa and wax centreWebWe set up a BNR correspondence for moduli spaces of Higgs bundles over a curve with a parabolic structure over any algebraically closed field. This leads to a concrete description of generic fibers of the associated strongly parabolic Hitchin map. We also show that the global nilpotent cone is equi-dimensional with half dimension of the total space. As a … divyam theaterWebMy research program is dedicated to the study of the geometry and topology of the moduli spaces of Higgs bundles, integrable systems and decorated bundles, and the geometric ... the monodromy of the Hitchin map and use this to completely determine the monodromy for the moduli spaces of L-twisted G-Higgs bundles, for the groups G=GL(2,C), SL(2,C ... divya nallapuram md clark countyWebAn L-twisted Higgs bundle on X is a pair (E;), where E is a holomorphic vector bundle on X and is an L-valued endomorphism of E,: E !E L, where L is a holomorphic line bundle on X … divyam organics