Search for dissertations about: "homotopy automorphisms"

Showing result 1 - 5 of 7 swedish dissertations containing the words homotopy automorphisms.

  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 automorphisms, graph complexes, and modular operads

    Author : Robin Stoll; Alexander Berglund; Manuel Krannich; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : This licentiate thesis consists of two papers.In Paper I we identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of S^k × S^l, where 3 ≤ k < l ≤ 2k − 2. We express the result in terms of Lie graph complex homology. READ MORE

  6. 4. Stable phenomena for some automorphism groups in topology

    Author : Erik Lindell; Dan Petersen; Dan Margalit; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation stability; Torelli groups; homotopy automorphisms; rational homotopy theory; Mathematics; matematik;

    Abstract : This licentiate thesis consists of two papers about topics related to representation stability for different automorphisms groups of topological spaces and manifolds.In Paper I, we study the rational homology groups of \textit{Torelli groups} of smooth, compact and orientable surfaces. READ MORE

  7. 5. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

    Author : Hadrien Espic; Gregory Arone; Alexander Berglund; Bjørn Dundas; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; categories; Yoneda algebra; operads; dg modules; homotopy automorphisms; Sullivan-Wilkerson; arithmetic group; matematik; Mathematics;

    Abstract : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. READ MORE