Corpus ID: 119614446

Categorification and applications in topology and representation theory

  title={Categorification and applications in topology and representation theory},
  author={D. Tubbenhauer},
  journal={arXiv: Quantum Algebra},
This thesis splits into two major parts. The connection between the two parts is the notion of "categorification" which we shortly explain/recall in the introduction. In the first part of this thesis we extend Bar-Natan's cobordism based categorification of the Jones polynomial to virtual links. Our topological complex allows a direct extension of the classical Khovanov complex (h=t=0), the variant of Lee (h=0,t=1) and other classical link homologies. We show that our construction allows… Expand
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