Low-dimensional topology, low-dimensional field theory and representation theory

  • Jürgen Fuchs

    Karlstads Universitet, Sweden
  • Christoph Schweigert

    Universität Hamburg, Germany
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Abstract

Structures in low-dimensional topology and low-dimensional geometry – often combined with ideas from (quantum) fi eld theory – can explain and inspire concepts in algebra and in representation theory and their categori ed versions. We present a personal view on some of these instances which have appeared within the Research Priority Programme SPP 1388 "Representation theory".