Search for dissertations about: "Homotopy"

Showing result 1 - 5 of 57 swedish dissertations containing the word Homotopy.

  2. 1. Formality and homotopy automorphisms in rational homotopy theory

    Author : Bashar Saleh; Alexander Berglund; Marco Manetti; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Rational homotopy theory; formality; homotopy automorphisms; Mathematics; matematik;

    Abstract : This licentiate thesis consists of two papers treating subjects in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that adg Lie algebra is formal if and only if its universal enveloping algebra is formal. READ MORE

  4. 2. Formality and rational homotopy theory of relative homotopy automorphisms

    Author : Bashar Saleh; Alexander Berglund; Aniceto Murillo; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; rational homotopy theory; formality; relative homotopy automorphisms; Mathematics; matematik;

    Abstract : This PhD thesis consists of four papers treating topics in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that a dg Lie algebra is formal if and only if its universal enveloping algebra is formal. READ MORE

  5. 3. Homotopy Theory and TDA with a View Towards Category Theory

    Author : Sebastian Öberg; Wojciech Chachólski; David Blanc; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homotopy theory; Topological Data Analysis; Category theory; Mapping spaces; Homotopy commutative diagrams; Matematik; Mathematics;

    Abstract : This thesis contains three papers. Paper A and Paper B deal with homotopy theory and Paper C deals with Topological Data Analysis. All three papers are written from a categorical point of view.In Paper A we construct categories of short hammocks and show that their weak homotopy type is that of mapping spaces. READ MORE

  6. 4. Algebraic C*-actions and homotopy continuation

    Author : David Eklund; Sandra Di Rocco; Chris Peterson; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; torus actions; homotopy continuation; MATHEMATICS; MATEMATIK;

    Abstract : Let X be a smooth projective variety over C equipped with a C*-action whose fixed points are isolated. Let Y and Z be subvarieties of complementary dimentions in X which intersect properly. READ MORE

  7. 5. 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