The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

Hitoshi Murakami

Fundamenta Mathematicae (2004)

  • Volume: 184, Issue: 1, page 269-289
  • ISSN: 0016-2736

Abstract

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I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.

How to cite

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Hitoshi Murakami. "The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries." Fundamenta Mathematicae 184.1 (2004): 269-289. <http://eudml.org/doc/282978>.

@article{HitoshiMurakami2004,
abstract = {I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.},
author = {Hitoshi Murakami},
journal = {Fundamenta Mathematicae},
keywords = {knot; figure-eight knot; colored Jones polynomial; volume; Dehn surgery; volume conjecture},
language = {eng},
number = {1},
pages = {269-289},
title = {The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries},
url = {http://eudml.org/doc/282978},
volume = {184},
year = {2004},
}

TY - JOUR
AU - Hitoshi Murakami
TI - The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 269
EP - 289
AB - I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.
LA - eng
KW - knot; figure-eight knot; colored Jones polynomial; volume; Dehn surgery; volume conjecture
UR - http://eudml.org/doc/282978
ER -

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