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

By Hitoshi Murakami, Yoshiyuki Yokota. 2004

48 citations recorded by the source corpus.

Abstract 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9191f2b5c081007e3ee3a487eb5b0ba1d99a0861

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jun Murakami
2. Hitoshi Murakami

In Mathematical Physics

1. Jun Murakami
2. Hitoshi Murakami

Citations in the corpus

• An Introduction to the Volume Conjecture (2010, background): “At least for the figureeight knot this is true if u is small [30].”
• Colored Alexander invariants and cone-manifolds (2008, background): “Such relation is first observed in [11] by considering the deformation of the parameter q.”