Search for dissertations about: "a-infinity algebras"

Found 5 swedish dissertations containing the words a-infinity algebras.

  2. 1. Free loop spaces, Koszul duality and A-infinity algebras

    Author : Kaj Börjeson; Alexander Berglund; Pascal Lambrechts; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; free loop spaces; a-infinity algebras; BV-algebras; string topology; Mathematics; matematik;

    Abstract : This thesis consists of four papers on the topics of free loop spaces, Koszul duality and A∞-algebras. In Paper I we consider a definition of differential operators for noncommutative algebras. This definition is inspired by the connections between differential operators of commutative algebras, L∞-algebras and BV-algebras. READ MORE

  4. 2. Computation of A-infinity algebras in group cohomology

    Author : Mikael Vejdemo-Johansson; Germany Friedrich-Schiller-Universität Jena; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  5. 3. Ext-algebras of standard modules over quasi-hereditary algebras

    Author : Markus Thuresson; Julian Külshammer; Pierre-Guy Plamondon; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis concerns the representation theory of a particular class of finite-dimensional algebras, called quasi-hereditary algebras. In particular, it considers two subclasses of quasi-hereditary algebras: dual extension algebras and hereditary algebras. It consists of three papers. READ MORE

  6. 4. BV-algebras in topology and homotopy algebra

    Author : Kaj Börjeson; Alexander Berglund; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : This Licentiate thesis consists of two papers. The first paper is called A-infinity-algebras derived from associative algebras with a non-derivation differential. The second paper is joint work with A. Berglund and is called Free loop space homology of highly connected manifolds. READ MORE

  7. 5. Universal algebraic structures on polyvector fields

    Author : Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. READ MORE