### Abstract

We calculate certain limits of the colored Alexander invariant of the figure-eight knot for some cases and show that this limit is related to the volume of hyperbolic orbifolds whose singular set is the figure-eight knot.

Original language | English |
---|---|

Pages (from-to) | 1271-1286 |

Number of pages | 16 |

Journal | Journal of Knot Theory and its Ramifications |

Volume | 18 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2009 Sep |

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### Keywords

- Colored Alexander invariant
- Figure-eight knot
- Volume conjecture
- Volume of hyperbolic orbifold

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

**Some limits of the colored alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds.** / Cho, Jinseok; Murakami, Jun.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Some limits of the colored alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds

AU - Cho, Jinseok

AU - Murakami, Jun

PY - 2009/9

Y1 - 2009/9

N2 - We calculate certain limits of the colored Alexander invariant of the figure-eight knot for some cases and show that this limit is related to the volume of hyperbolic orbifolds whose singular set is the figure-eight knot.

AB - We calculate certain limits of the colored Alexander invariant of the figure-eight knot for some cases and show that this limit is related to the volume of hyperbolic orbifolds whose singular set is the figure-eight knot.

KW - Colored Alexander invariant

KW - Figure-eight knot

KW - Volume conjecture

KW - Volume of hyperbolic orbifold

UR - http://www.scopus.com/inward/record.url?scp=70350007992&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350007992&partnerID=8YFLogxK

U2 - 10.1142/S0218216509007464

DO - 10.1142/S0218216509007464

M3 - Article

AN - SCOPUS:70350007992

VL - 18

SP - 1271

EP - 1286

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 9

ER -