Sökning: "Equivariant Cohomology"

Hittade 3 avhandlingar innehållade orden Equivariant Cohomology.

  1. 1. Cohomology of arrangements and moduli spaces

    Författare :Olof Bergvall; Carel Faber; Jonas Bergström; Orsola Tommasi; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; moduli spaces; cohomology; toric arrangements; equivariant; point counts; finite fields; mixed Hodge structures; Mathematics; matematik;

    Sammanfattning : This thesis mainly concerns the cohomology of the moduli spaces ℳ3[2] and ℳ3,1[2] of genus 3 curves with level 2 structure without respectively with a marked point and some of their natural subspaces. A genus 3 curve which is not hyperelliptic can be realized as a plane quartic and the moduli spaces ?[2] and ?1[2] of plane quartics without respectively with a marked point are given special attention. LÄS MER

  3. 2. Supersymmetric Localization : A Journey from Seven to Three Dimensions

    Författare :Konstantina Polydorou; Guido Festuccia; Elli Pomoni; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Supersymmetry; Localization; Equivariant Cohomology; BPS Operators; Topological Field Theory; Equivariant Twisting; Theoretical Physics; Teoretisk fysik;

    Sammanfattning : Quantum Field Theory has been a dominating framework in elementary particle physics during the last century. Within this framework, supersymmetric theories have attracted a lot of attention due to their mathematical structure, simplicity and insight into the problems of unification, dark matter and hierarchy. LÄS MER

  4. 3. Point counts and the cohomology of moduli spaces of curves

    Författare :Jonas Bergström; Carel Faber; Lothar Göttsche; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : n this thesis we count the number of points defined over finite fields of certain moduli spaces of pointed curves. The aim is primarily to gain cohomological information. Paper I is joint work with Orsola Tommasi. Here we present details of the method of finding cohomological information on moduli spaces of curves by counting points. LÄS MER