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Showing result 1 - 5 of 6 swedish dissertations matching the above criteria.

  2. 1. 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

  4. 2. 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

  5. 3. Topology of moduli spaces and operads

    Author : Dan Petersen; Carel Faber; Ravi Vakil; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  6. 4. Some computations of compact support cohomology of configuration spaces

    Author : Louis Hainaut; Dan Petersen; Ben Knudsen; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : This licentiate thesis consists of two papers related to configuration spaces of points.In paper I a general formula for the Euler characteristic of configuration spaces on any topologically stratified space X is obtained in terms of geometric and combinatorial data about the strata. READ MORE

  7. 5. A descent principle for compact support extensions of functors

    Author : Josefien Kuijper; Dan Petersen; Tom Bachmann; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : This licentiate thesis consists of one paper about cohomology theories of algebraic varieties. Certain cohomology theories, such as singular cohomology of topological spaces, and sheaf cohomology, have a variant that we call “compactly supported cohomology”. READ MORE