Sökning: "Local index theorem"

Hittade 2 avhandlingar innehållade orden Local index theorem.

  1. 1. Quaternionic Transgression in Hyperkähler Geometry

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

    Sammanfattning : 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. LÄS MER

  2. 2. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach

    Författare :Johan Thim; Vladimir Kozlov; Bengt Ove Turesson; Martin Costabel; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Singular integrals; Lipschitz surfaces; Mathematical analysis; Analys;

    Sammanfattning : This work is devoted to the equationwhere S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple layer potential and f is a given function. LÄS MER