WebHoje · 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 ... WebHiggs Bundles - Yale University
An Introduction to Higgs Bundles via Harmonic Maps
WebAn Introduction to Higgs Bundles via Harmonic Maps 3 notions can be de ned for higher-dimensional manifolds. But for simplicity, we only deal with surfaces and one may notice … WebHiggs bundles were introduced by Nigel Hitchin in 1987 while studying the dimensional reduction of the self-duality equations from four to two dimensions. A Higgs bundle on a Riemann surface is a pair (E;), where E is a holomorphic vector bundle and , the Higgs eld, is a holomorphic 1-form with values in the bundle of endomorphisms of E. It cabin sale south georgia
Higgs Bundles Introduction - CMUP
Web2.2 Moduli of Higgs bundles Usually one would start out with ordinary Higgs bundles, but with an eye to what will come later, we go straight to the parabolic case. Roughly this … WebThe study of Higgs bundles on curves has been initiated by Hitchin in relation to the construction of solutions to a dimensional reduction of the Yang–Mills equation. An … Web27 de ago. de 2024 · The aim is to provide a brief introduction to algebraic stacks, and then to give several constructions of the moduli stack of Higgs bundles on algebraic curves. The first construction is via a "bootstrap" method from the algebraic stack of vector bundles on an algebraic curve. cabins alert bay