# Categorification and applications in topology and representation theory

@article{Tubbenhauer2013CategorificationAA, title={Categorification and applications in topology and representation theory}, author={D. Tubbenhauer}, journal={arXiv: Quantum Algebra}, year={2013} }

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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