Optimistic limits of the colored Jones polynomials

Jinseok Cho; Jun Murakami

doi:10.4134/JKMS.2013.50.3.641

Optimistic limits of the colored Jones polynomials

Jinseok Cho, Jun Murakami

School of Fundamental Science and Engineering

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

10 Citations (Scopus)

Abstract

We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo 4π².

Original language	English
Pages (from-to)	641-693
Number of pages	53
Journal	Bulletin of the Korean Mathematical Society
Volume	50
Issue number	3
DOIs	https://doi.org/10.4134/JKMS.2013.50.3.641
Publication status	Published - 2013

Keywords

Colored Jones polynomial
Kashaev invariant
Optimistic limit
Volume conjecture

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2013.50.3.641

Cite this

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title = "Optimistic limits of the colored Jones polynomials",

abstract = "We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo 4π2.",

keywords = "Colored Jones polynomial, Kashaev invariant, Optimistic limit, Volume conjecture",

author = "Jinseok Cho and Jun Murakami",

year = "2013",

doi = "10.4134/JKMS.2013.50.3.641",

language = "English",

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journal = "Bulletin of the Korean Mathematical Society",

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AU - Cho, Jinseok

AU - Murakami, Jun

PY - 2013

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AB - We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo 4π2.

KW - Colored Jones polynomial

KW - Kashaev invariant

KW - Optimistic limit

KW - Volume conjecture

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

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Optimistic limits of the colored Jones polynomials

Abstract

Keywords

ASJC Scopus subject areas

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