A formula for the colored Jones polynomial of 2-bridge knots

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We derive a formula for the colored Jones polynomial of 2-bridge knots. For a twist knot, a more explicit formula is given and it leads to a relation between the degree of the colored Jones polynomial and the crossing number.

Original languageEnglish
Pages (from-to)255-280
Number of pages26
JournalKyungpook Mathematical Journal
Volume48
Issue number2
DOIs
Publication statusPublished - Jan 1 2008
Externally publishedYes

Fingerprint

Colored Jones Polynomial
2-bridge Knot
Polynomials
Crossing number
Twist
Knot
Explicit Formula

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

A formula for the colored Jones polynomial of 2-bridge knots. / Takata, Toshie.

In: Kyungpook Mathematical Journal, Vol. 48, No. 2, 01.01.2008, p. 255-280.

Research output: Contribution to journalArticle

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