The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces

Details The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces

2004-01-09

arxiv.org/abs/math/0401084v3

J. Reine Angew. Math. 607 (2007), 47--68

Mathematics

Geometric Topology

17 pages

Scientific paper

We calculate limits of the colored Jones polynomials of the figure-eight knot
and conclude that in most cases they determine the volumes and the
Chern--Simons invariants of the three-manifolds obtained by Dehn surgeries
along it.

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