8 citations · 17 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
On p-adic propreties of the Witten-Reshetikhin-Turaev invariant
L. Rozansky
We use the properties of the Melvin-Morton expansion of the colored Jones polynomial in order to prove that the trivial connection contribution converges p-adicly to the SO(3) Witt…
A contribution of a U(1)-reducible connection to quantum invariants of links II: Links in rational homology spheres
L. Rozansky
We extend the definition of the U(1)-reducible connection contribution to the case of the Witten-Reshetikhin-Turaev invariant of a link in a rational homology sphere. We prove that…
A contribution of a U(1)-reducible connection to quantum invariants of links I: R-matrix and Burau representation
L. Rozansky
We use the relation between the quantum su(2) R-matrix and the Burau representation of the braid group in order to study the structure of the colored Jones polynomial of links. We…