Search for dissertations about: "rational homotopy theory"

Found 5 swedish dissertations containing the words rational homotopy theory.

  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. 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

  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. Modeling and Model Reduction by Analytic Interpolation and Optimization

    Author : Giovanna Fanizza; Anders Lindquist; György Michaletzky; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analytic Interpolation theory with a degree constraint; rational covariance extension problem; spectral estimation; model reduction; optimization; passive system; Optimization; systems theory; Optimeringslära; systemteori;

    Abstract : This thesis consists of six papers. The main topic of all these papers is modeling a class of linear time-invariant systems. The system class is parameterized in the context of interpolation theory with a degree constraint. READ MORE