Search for dissertations about: "operads"

Showing result 1 - 5 of 9 swedish dissertations containing the word operads.

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

    Author : Johan Granåker; Stockholms universitet.; [2010]
    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

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

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Henrik Strohmayer; Stockholms universitet.; [2009]
    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

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

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Felix Wierstra; Stockholms universitet.; [2017]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Rational homotopy theory; Real homotopy theory; operads; Hopf invariants; matematik; Mathematics;

    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

  4. 4. Topology of moduli spaces and operads

    University dissertation from Stockholm : KTH Royal Institute of Technology

    Author : Dan Petersen; KTH.; [2013]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  5. 5. Contributions to the theory of operads

    University dissertation from Stockholm : Stockholm University

    Author : Pelle Salomonsson; [2003]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra; Algebra;

    Abstract : .... READ MORE