68 citations · 194 across the 19 of their papers we have counts for
19 papers
Hopf Ideals, Integrality, and Automorphisms of Quantum Groups at Roots of 1
Matthew Harper, Thomas Kerler
We consider skew-commutative subalgebras in Drinfeld-Jimbo quantum groups at a root of unity generated by primitive power elements. We classify the centrality and commutativity…
Random Walk Invariants of String Links from R-Matrices
Thomas Kerler, Yilong Wang
We show that the exterior powers of the matrix valued random walk invariant of string links, introduced by Lin, Tian, and Wang, are isomorphic to the graded components of the tangl…
Integrality and Gauge Dependence of Hennings TQFTs
Qi Chen, Thomas Kerler
We provide a general construction of integral TQFTs over a general commutative ring, , starting from a finite Hopf algebra over which is Frobenius and doub…
The Lawrence-Krammer-Bigelow Representations of the Braid Groups via Quantum SL_2
Craig Jackson, Thomas Kerler
We construct representations of the braid groups B_n on n strands on free Z[q,q^-1,s,s^-1]-modules W_{n,l} using generic Verma modules for an integral version of quantum sl_2. We p…
Higher Rank TQFT Representations of SL(2,Z) are Reducible
Qi Chen, Thomas Kerler
In this article we give examples which show that the TQFT representations of the mapping class groups derived from quantum SU(N) for N>2 are generically decomposable. One general d…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…