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math.GT2012★ 17 cited
Khovanov homology for virtual tangles and applications
Daniel Tubbenhauer
We extend the cobordism based categorification of the virtual Jones polynomial to virtual tangles. This extension is combinatorial and has semi-local properties. We use the semi-lo…
math.GT2011★ 17 cited
Virtual Khovanov homology using cobordisms
Daniel Tubbenhauer
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…