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Showing result 1 - 5 of 7 swedish dissertations matching the above criteria.
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1. Group Extensions, Gerbes and Twisted K-theory
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
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2. N-complexes and Categorification
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
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3. Abelian Extensions, Fractional Loop Group and Quantum Fields
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
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4. A descent principle for compact support extensions of functors
Abstract : This licentiate thesis consists of one paper about cohomology theories of algebraic varieties. Certain cohomology theories, such as singular cohomology of topological spaces, and sheaf cohomology, have a variant that we call “compactly supported cohomology”. READ MORE
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5. Topological Phases of Non-Hermitian physics
Abstract : Non-Hermitian physics has introduced phenomena like the skin effect and exceptional points, challenging traditional views of topological phases. This thesis contrasts two classification frameworks for non-Hermitian systems. READ MORE