Search for dissertations about: "holomorphic vector bundles"

Found 2 swedish dissertations containing the words holomorphic vector bundles.

  1. 1. Positive vector bundles in complex and convex geometry

    Author : Hossein Raufi; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : holomorphic vector bundles; dbar-equation; L^2-estimates; singular hermitian metrics; Griffiths positivity; Nakano positivity; vanishing theorems; Ohsawa-Takegoshi extension theorem; convex geometry; Prekopa theorem; Nakano positivity;

    Abstract : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. READ MORE

  2. 2. Quaternionic Transgression in Hyperkähler Geometry

    Author : Alexei Kotov; Edwin Langmann; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Theoretical physics; Hyperkähler manifold; Hyperholomorphic bundle; Superconnection; Local index theorem; Chiral determinant; Transgression; Teoretisk fysik; Physics; Fysik; Theoretical Physics; teoretisk fysik;

    Abstract : It is known, that hyperkähler varieties being a special case of Riemann and Kähler manifolds, admit more symmetries. For this reason, all important structures possibly admit hyperkähler generalization. Some of these generalizations make a theme of this thesis. READ MORE