Sökning: "relative homotopy automorphisms"

Hittade 5 avhandlingar innehållade orden relative homotopy automorphisms.

  1. 1. Formality and rational homotopy theory of relative homotopy automorphisms

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

    Sammanfattning : 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. LÄS MER

  3. 2. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

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

    Sammanfattning : 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. LÄS MER

  4. 3. Homotopy automorphisms, graph complexes, and modular operads

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

    Sammanfattning : 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. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

  7. 5. Stable invariants of some topological moduli spaces

    Författare :Erik Lindell; Dan Petersen; Alexander Berglund; Andrew Putman; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Moduli spaces; mapping class groups; stable invariants; matematik; Mathematics;

    Sammanfattning : This thesis consists of three papers, treating stability phenomena in various automorphism groups in topology. In Papers I and III, we study the group (co)homology of certain mapping class groups of surfaces and graphs, or their respective Torelli subgroups, while the subject of Paper II is homotopy automorphisms of higher-dimensional spaces and manifolds. LÄS MER