Search for dissertations about: "operad"

Showing result 1 - 5 of 7 swedish dissertations containing the word operad.

  2. 1. Configuration spaces, props and wheel-free deformation quantization

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

    Abstract : 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. READ MORE

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

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

    Abstract : 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. READ MORE

  5. 3. Admissible covers, modular operads and modular forms

    Author : Dan Petersen; Carel Faber; Alessandro Chiodo; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis contains three articles related to operads and moduli spaces of admissible covers of curves. In Paper A we isolate cohomology classes coming from modular forms inside a certain space of admissible covers, thereby showing that this moduli space can be used as a substitute for a Kuga–Sato variety. READ MORE

  6. 4. Model categories, pro-categories and functors

    Author : Thomas Blom; Gregory Arone; Denis-Charles Cisinski; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homotopy theory; Quillen model categories; Pro-categories; Enriched categories; Goodwillie calculus; matematik; Mathematics;

    Abstract : This thesis consists of five papers. The first three are concerned with various model structures on ind- and pro-categories, while the last two are concerned with the homotopy theory of functors.In Paper I, a general method for constructing simplicial model structures on ind- and pro-categories is described and its basic properties are studied. READ MORE

  7. 5. 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