187 citations · 847 across the 47 of their papers we have counts for
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Residue Formulas for the Large k Asymptotics of Witten's Invariants of Seifert Manifolds. The Case of SU(2)
L. Rozansky
We derive the large k asymptotics of the surgery formula for SU(2) Witten's invariants of general Seifert manifolds. The contributions of connected components of the moduli space o…
A Contribution of the Trivial Connection to the Jones Polynomial and Witten's Invariant of 3d Manifolds II
Lev Rozansky
We extend the results of our previous paper from knots to links by using a formula for the Jones polynomial of a link derived recently by N. Reshetikhin. We illustrate this formula…
Reshetikhin's Formula for the Jones Polynomial of a Link: Feynman diagrams and Milnor's Linking Numbers
Lev Rozansky
We use Feynman diagrams to prove a formula for the Jones polynomial of a link derived recently by N.~Reshetikhin. This formula presents the colored Jones polynomial as an integral…
A Contribution of the Trivial Connection to Jones Polynomial and Witten's Invariant of 3d Manifolds I
Lev Rozansky
We use the Chern-Simons quantum field theory in order to prove a recently conjectured limitation on the 1/K expansion of the Jones polynomial of a knot and its relation to the Alex…
Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus
Lev Rozansky
We review two different methods of calculating Witten's invariant: a stationary phase approximation and a surgery calculus. We give a detailed description of the 1-loop approximati…