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arxiv: math/0401084 · v3 · submitted 2004-01-09 · 🧮 math.GT

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

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keywords coloreddehnfigure-eightjonesknotpolynomialsalongcalculate
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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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