19 citations · 42 across the 6 of their papers we have counts for
7 papers
On knot detection via picture recognition
Anne Dranowski, Yura Kabkov, Daniel Tubbenhauer
Our goal is to one day take a photo of a knot and have a phone automatically recognize it. In this expository work, we explain a strategy to approximate this goal, using a mixture…
Diagrammatics for dicyclic groups
Peter DeBello, Daniel Tubbenhauer
Using that the dicyclic group is the type D subgroup of SU(2), we extend the Temperley-Lieb diagrammatics to give a diagrammatic presentation of the complex representation theory o…
Orthogonal webs and semisimplification
Elijah Bodish, Daniel Tubbenhauer
We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describ…
On a symplectic quantum Howe duality
Elijah Bodish, Daniel Tubbenhauer
We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss…
HOMFLYPT homology for links in handlebodies via type A Soergel bimodules
David E. V. Rose, Daniel Tubbenhauer
We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFLYPT (co)homology of links in the 3-ball. Our main tools are the description of t…
Webs and -Howe dualities in types
Antonio Sartori, Daniel Tubbenhauer
We define web categories describing intertwiners for the orthogonal and symplectic Lie algebras, and, in the quantized setup, for certain orthogonal and symplectic coideal subalgeb…
Symmetric webs, Jones-Wenzl recursions and -Howe duality
David E. V. Rose, Daniel Tubbenhauer
We define and study the category of symmetric -webs. This category is a combinatorial description of the category of all finite dimensional quantum $\mathfrak{sl}_…