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Showing result 1 - 5 of 13 swedish dissertations matching the above criteria.

  2. 1. Wheeled Operads in Algebra, Geometry, and Quantization

    Author : Johan Granåker; Sergei A. Merkulov; Andrey Lazarev; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; operads; deformation theory; homotopy algebra; deformation quantization; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. READ MORE

  4. 2. Prop profiles of compatible Poisson and Nijenhuis structures

    Author : Henrik Strohmayer; Sergei Merkulov; Gilles Halbout; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; resolutions; props; operads; compatible structures; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : A prop profile of a differential geometric structure is a minimal resolution of an algebraic prop such that representations of this resolution are in one-to-one correspondence with structures of the given type. We begin this thesis with a detailed account of the algebraic tools necessary to construct prop profiles; we treat operads and props, and resolutions of these through Koszul duality. READ MORE

  5. 3. Hopf Invariants in Real and Rational Homotopy Theory

    Author : Felix Wierstra; Alexander Berglund; Urtzi Buijs; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Rational homotopy theory; Real homotopy theory; operads; Hopf invariants; Mathematics; matematik;

    Abstract : In this thesis we use the theory of algebraic operads to define a complete invariant of real and rational homotopy classes of maps of topological spaces and manifolds. More precisely let f,g : M -> N be two smooth maps between manifolds M and N. READ MORE

  6. 4. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

    Author : Hadrien Espic; Gregory Arone; Alexander Berglund; Bjørn Dundas; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; categories; Yoneda algebra; operads; dg modules; homotopy automorphisms; Sullivan-Wilkerson; arithmetic group; matematik; Mathematics;

    Abstract : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. READ MORE

  7. 5. Topology of moduli spaces and operads

    Author : Dan Petersen; Carel Faber; Ravi Vakil; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE