Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

Details Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

2000-05-31

arxiv.org/abs/math/0005289v1

Surikaisekikenkyusho Kokyuroku No. 1172, (2000), 70--79

Mathematics

Geometric Topology

10 pages, to appear in the Proceedings of the workshop `Recent Progress toward the Volume Conjecture', International Institute

Scientific paper

I calculate optimistically asymptotic behaviors of the WRT SU(2) invariants
for the three-manifolds obtained from the figure-eight knot by p-surgeries with
p=0,1,2,...,10, from which one can extract volumes and the Chern-Simons
invariants of these closed manifolds. I conjecture that this also holds for
general closed three-manifolds.

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