From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant

Details From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant

1998-02-15

arxiv.org/abs/math/9802069v2

Mathematics

Quantum Algebra

27 pages, 19 figures, added references

Scientific paper

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.

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