8 citations · 17 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
A universal U(1)-RCC invariant of links and rationality conjecture
L. Rozansky
We define a graph algebra version of the stationary phase integration over the coadjoint orbits in the Reshetikhin formula for the colored Jones-HOMFLY polynomial. As a result, we…
A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial
L. Rozansky
We formulate a conjecture (already proven by A. Kricker) about the structure of Kontsevich integral of a knot. We describe its value in terms of the generating functions for the nu…
The loop expansion of the Kontsevich integral, the null move and S-equivalence
Stavros Garoufalidis, Lev Rozansky
This is a substantially revised version. The Kontsevich integral of a knot is a graph-valued invariant which (when graded by the Vassiliev degree of graphs) is characterized by a u…