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

Jinseok Cho; Jun Murakami

doi:10.1142/S0218216509007464

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

Jinseok Cho^*, Jun Murakami

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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	https://doi.org/10.1142/S0218216509007464
Publication status	Published - 2009 Sept

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S0218216509007464

Cite this

@article{083abc7ebed04b9c86d90726645700e2,

title = "Some limits of the colored alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds",

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.",

keywords = "Colored Alexander invariant, Figure-eight knot, Volume conjecture, Volume of hyperbolic orbifold",

author = "Jinseok Cho and Jun Murakami",

note = "Funding Information: The first author was supported by the Korea National Foundation Grant funded by the Korean Government(MOEHRD) (KRF-2007-612-C00037).",

year = "2009",

month = sep,

doi = "10.1142/S0218216509007464",

language = "English",

volume = "18",

pages = "1271--1286",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "9",

}

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

N1 - Funding Information: The first author was supported by the Korea National Foundation Grant funded by the Korean Government(MOEHRD) (KRF-2007-612-C00037).

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

SN - 0218-2165

VL - 18

SP - 1271

EP - 1286

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 9

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this