23 citations · 57 across the 5 of their papers we have counts for
5 papers
Cellularity of KLR and weighted KLRW algebras via crystals
Andrew Mathas, Daniel Tubbenhauer
We prove that the weighted KLRW algebras of finite type, and their cyclotomic quotients, are cellular algebras. The cellular bases are explicitly described using crystal graphs. As…
Diagram categories for -tilting modules at roots of unity
Henning Haahr Andersen, Daniel Tubbenhauer
We give a diagrammatic presentation of the category of -tilting modules for being a root of unity and introduce a grading on $\mat…
Categorification and applications in topology and representation theory
Daniel Tubbenhauer
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…
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…
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…