Sökning: "homotopy Lie algebras"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden homotopy Lie algebras.

  1. 1. Graded lie algebras in local algebra and rational homotopy

    Författare :Rikard Bøgvad; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis consists of three papers, [A – C]The old conjecture that Poincaré-series of local noetherian rings are rational was disproved by Anick in 1979. Building upon his counter-example, as analyzed by Löfwall-Roos, I construct a Gorenstein ring with transcendental Poincaré-series; by a method of Roos this also gives a manifold whose loopspace has transcendental Poinaré-Betti series. LÄS MER

  3. 2. Poincaré series and homotopy Lie algebras of monomial rings

    Författare :Alexander Berglund; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri;

    Sammanfattning : .... LÄS MER

  4. 3. Bosonic string field theory : operator formulation and string field functional formulation

    Författare :Per Sundell; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; string field theory; BRST-invariance; modular invariance; reggeon vertices; master equation; homotopy Lie algebras; sweing of riemann surfaces;

    Sammanfattning : .... LÄS MER

  5. 4. Wheeled Operads in Algebra, Geometry, and Quantization

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

    Sammanfattning : 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. LÄS MER

  7. 5. Configuration spaces, props and wheel-free deformation quantization

    Författare :Theo Backman; Sergei Merkulov; Sergei Shadrin; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; operad; properad; prop; deformation quantization; configuration space; Lie bialgebra; Poisson manifold; Mathematics; matematik;

    Sammanfattning : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. LÄS MER