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 … WebLet D be either the canonical bundle ΩC or a line bundle with deg(D) > 2g − 2 on C. A D-Higgs bundle, or simply Higgs bundle, is a pair (E,φ), where E is a vector bundle on C and φ : E → E ⊗ D is a homomorphism. A Higgs bundle (E,φ) is stable if for every propre subbundle F ⊂ E such that φ induces a homomorphism F → F ⊗ D, we have
Introduction to Higgs Bundles - Imperial College London
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 … 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 … dave ramsey nashville house
Cohomological Hall algebra of Higgs sheaves on a curve
WebHiggs Bundles Peter Gothen Centro de Matem´atica da Universidade do Porto International School on Geometry and Physics: moduli spaces in geometry, topology and physics. Ci … Web5 de jul. de 2001 · Introduction THE primary purpose of this paper is the study of algebraic vector bundles over an elliptic curve (defined over an algebraically closed field k). The interest of the elliptic curve lies… Expand 943 PDF Vanishing theorems for square-integrable harmonic forms J. Dodziuk Mathematics 1981 http://gear.math.illinois.edu/programs/workshops/documents/Bradlow-lecture1-slides.pdf dave ramsey net worth calculation