Sökning: "Theo Backman"

Hittade 2 avhandlingar innehållade orden Theo Backman.

  1. 1. Compactified Configuration Space of Points on a Line and Homotopies of A_ infty Morphisms

    Författare :Theo Backman; Sergei Merkulov; Alexander Berglund; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Sammanfattning : In this thesis we construct a configuration space model for a particular 2-colored dg operad encoding the structure of two A_infty algebras with two A_infty morphism and a homotopy between the morphisms. We determine the cohomology of this operad to be the well-known 2-colored operad encoding the structure of a two associative algebras and an associative algebra morphism between them. LÄS MER

  3. 2. 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