8 citations · 17 across the 3 of their papers we have counts for
9 papers
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…
Matrix factorizations and link homology
Mikhail Khovanov, Lev Rozansky
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable polynomial that can be recovered from the representation theory of quantum sl(n). For each…
Topological A-models on seamed Riemann surfaces
L. Rozansky
We define a class of topological A-models on a collection of Riemann surfaces, whose boundaries are sewn together along the seams. The target spaces for the Riemann surfaces are th…
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…