From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant
Quantum Algebra
2007-05-23 v2 Geometric Topology
Abstract
We give a construction of Kirby weight systems associated to sl(2) and valued into the finite field Z/pZ. We show that it is possible to apply this sequence of weight systems on the universal invariant of framed link. We also show that the corresponding sequence admits a Fermat limit, which defines an asymptotic rational homology 3-sphere quantum invariant. Moreover, this asymptotic invariant coincides with the Ohtsuki invariant.
Keywords
Cite
@article{arxiv.math/9802069,
title = {From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant},
author = {Laurent Freidel},
journal= {arXiv preprint arXiv:math/9802069},
year = {2007}
}
Comments
27 pages, 19 figures, added references