187 citations · 847 across the 47 of their papers we have counts for
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Hyper-Kahler Geometry and Invariants of Three-Manifolds
L. Rozansky, E. Witten
We study a 3-dimensional topological sigma-model, whose target space is a hyper-Kahler manifold X. A Feynman diagram calculation of its partition function demonstrates that it is a…
The Universal R-Matrix, Burau Representaion and the Melvin-Morton Expansion of the Colored Jones Polynomial
L. Rozansky
P. Melvin and H. Morton studied the expansion of the colored Jones polynomial of a knot in powers of q-1 and color. They conjectured an upper bound on the power of color versus the…
On p-Adic Convergence of Perturbative Invariants of Some Rational Homology Spheres
L. Rozansky
R.~Lawrence has conjectured that for rational homology spheres, the series of Ohtsuki's invariants converges p-adicly to the SO(3) Witten-Reshetikhin-Turaev invariant. We prove thi…
Higher Order Terms in the Melvin-Morton Expansion of the Colored Jones Polynomial
L. Rozansky
We formulate a conjecture about the structure of `upper lines' in the expansion of the colored Jones polynomial of a knot in powers of (q-1). The Melvin-Morton conjecture states th…