Search for dissertations about: "K-theory"

Found 4 swedish dissertations containing the word K-theory.

  1. 1. Group Extensions, Gerbes and Twisted K-theory

    Author : Pedram Hekmati; Jouko Mickelsson; Jürgen Fuchs; KTH; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematical physics; Matematisk fysik;

    Abstract : This thesis reviews the theory of group extensions, gerbes and twisted K-theory. Application to anomalies in gauge theory is briefly discussed. The main results are presented in two appended scientific papers. READ MORE

  2. 2. N-complexes and Categorification

    Author : Djalal Mirmohades; Volodymyr Mazorchuk; Steffen Oppermann; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Homological algebra; Category theory; Triangulated categories; K-theory; Hopfological algebra; Mathematics; Matematik;

    Abstract : This thesis consists of three papers about N-complexes and their uses in categorification. N-complexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. READ MORE

  3. 3. Abelian Extensions, Fractional Loop Group and Quantum Fields

    Author : Pedram Hekmati; Jouko Mickelsson; Christoph Schweigert; KTH; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Lie group extensions; Lie conformal algebras; gerbes; twisted K-theory; renormalization; anomalies; D-brane charges; variational complex; Mathematical physics; Matematisk fysik;

    Abstract : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. READ MORE

  4. 4. 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