• Corpus ID: 250450876

Categorification: tangle invariants and TQFTs

  title={Categorification: tangle invariants and TQFTs},
  author={Catharina Stroppel},
Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and connect them via the theory of Soergel bimodules. The influence of these categorifications on the development of 2-representation theory and the interaction between topological invariants and 2-categorical structures is discussed. Finally, we indicate how categorified representations of quantum groups on the one hand and… 
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