着色的琼斯函数

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 87-91.

着色的琼斯函数

School of Mathematics, Liaoning Normal University

收稿日期:2009-12-15 出版日期:2012-03-30 发布日期:2023-04-06
作者简介:HAN You-fa(1962-), male, native of Changchun, Jilin, a professor of Liaoning Normal University, Ph.D., engages in low-dimension topology.
基金资助:
Supported by the NSF of China(11071106)； Supported by the Liaoning Educational Committee (2009A418)

The Colored Jones Function

School of Mathematics, Liaoning Normal University

Received:2009-12-15 Online:2012-03-30 Published:2023-04-06
About author:HAN You-fa(1962-), male, native of Changchun, Jilin, a professor of Liaoning Normal University, Ph.D., engages in low-dimension topology.
Supported by:
Supported by the NSF of China(11071106)； Supported by the Liaoning Educational Committee (2009A418)

摘要/Abstract

摘要： In this paper, we discuss the properties of the colored Jones function of knots. Particularly, we calculate the colored Jones function of some knots(3₁,4₁,5₁,5₂). Furthermore, one can compute the Kashaev’s invariants and study some properties of the Kashaev’s conjecture.

关键词: volume conjecture, Kashaev’s conjecture, colored Jones function

Abstract: In this paper, we discuss the properties of the colored Jones function of knots. Particularly,we calculate the colored Jones function of some knots(3₁,4₁,5₁,5₂₎. Furthermore,one can compute the Kashaev’s invariants and study some properties of the Kashaev’s conjecture.

Key words: volume conjecture, Kashaev’s conjecture, colored Jones function

中图分类号:

O189

韩友发, 阎昕明, 吕丽莉. 着色的琼斯函数[J]. 数学季刊, 2012, 27(1): 87-91.

HAN You-fa, YAN Xin-ming, LV Li-li. The Colored Jones Function[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 87-91.

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