The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

被引：5

作者：

Murakami, H ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan

来源：

FUNDAMENTA MATHEMATICAE | 2004年 / 184卷

关键词：

knot; figure-eight knot; colored Jones polynomial; volume; Dehn surgery; volume conjecture;

D O I：

10.4064/fm184-0-15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.

引用

页码：269 / 289

页数：21

共 17 条

[1] The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces
Murakami, Hitoshi
Yokota, Yoshiyuki
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 607 : 47 - 68
[2] ANOSOV FLOWS ON DEHN SURGERIES ON THE FIGURE-EIGHT KNOT
Yu, Bin
[J]. DUKE MATHEMATICAL JOURNAL, 2023, 172 (11) : 2195 - 2240
[3] Matrix integral expansion of colored Jones polynomials for figure-eight knot
Alexandrov, A.
Melnikov, D.
[J]. JETP LETTERS, 2015, 101 (01) : 51 - 56
[4] Matrix integral expansion of colored Jones polynomials for figure-eight knot
A. Alexandrov
D. Melnikov
[J]. JETP Letters, 2015, 101 : 51 - 56
[5] The colored Jones polynomial of a cable of the figure-eight knot
Murakami, Hitoshi
Tran, Anh T.
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2023,
[6] The colored Jones polynomial of the figure-eight knot and a quantum modularity
Murakami, Hitoshi
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2024, 76 (02): : 519 - 554
[7] Some Limits of the Colored Jones Polynomials of the Figure-eight Knot (vol 44, pg 369,2004)
Murakami, Hitoshi
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (02): : 639 - 645
[8] Dehn surgeries on the figure eight knot: An upper bound for complexity
Fominykh E.A.
[J]. Siberian Mathematical Journal, 2011, 52 (3) : 537 - 543
[9] DEHN SURGERIES ON THE FIGURE EIGHT KNOT: AN UPPER BOUND FOR COMPLEXITY
Fominykh, E. A.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (03) : 537 - 543
[10] Classification of tight contact structures on surgeries on the figure-eight knot
Conway, James
Min, Hyunki
[J]. GEOMETRY & TOPOLOGY, 2020, 24 (03) : 1457 - 1517

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