6 citations · 8 across the 7 of their papers we have counts for
7 papers
The Drinfeld associator of gl(1|1)
Jens Lieberum
We determine explicitly a rational even Drinfeld associator Q in a completion of the universal enveloping algebra of the Lie superalgebra gl(1|1)^3. More generally, we define a new…
Universal Vassiliev invariants of links in coverings of 3-manifolds
Jens Lieberum
We study Vassiliev invariants of links in a 3-manifold by using chord diagrams labeled by elements of the fundamental group of . We construct universal Vassiliev invariants…
The LMO-invariant of 3-manifolds of rank one and the Alexander polynomial
Jens Lieberum
We prove that the LMO-invariant of a 3-manifold of rank one is determined by the Alexander polynomial of the manifold, and conversely, that the Alexander polynomial is determined b…
Skein modules of links in cylinders over surfaces
Jens Lieberum
We define the Conway skein module C(M) of ordered based links in a 3-manifold M. This module gives rise to C(M)-valued invariants of usual links in M. We determine a basis of the Z…
The number of independent Vassiliev invariants in the Homfly and Kauffman polynomials
J. Lieberum
We consider vector spaces H(n,l) and F(n,l) spanned by the degree-n coefficients in power series forms of the Homfly and Kauffman polynomials of links with l components. Generalizi…
On Vassiliev Invariants not Coming from Semisimple Lie Algebras
Jens Lieberum
We prove a refinement of Vogel's statement that the Vassiliev invariants of knots coming from semisimple Lie algebras do not generate all Vassiliev invariants. This refinement take…