Finite n-quandles of torus and two-bridge links

被引：3

作者：

Crans, Alissa S. ^{[1
]}

Mellor, Blake ^{[1
]}

Shanahan, Patrick D. ^{[1
]}

Hoste, Jim ^{[2
]}

机构：

[1] Loyola Marymount Univ, 1 LMU Dr, Los Angeles, CA 90045 USA

[2] Pitzer Coll, 1050 N Mills Ave, Claremont, CA 91711 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2019年 / 28卷 / 03期

关键词：

Quandles; two-bridge knots; torus knots; Cayley graphs;

D O I：

10.1142/S0218216519500287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute Cayley graphs and automorphism groups for all finite n-quandles of two-bridge and torus knots and links, as well as torus links with an axis.

引用

页数：18

共 50 条

[41] Genera of two-bridge knots and epimorphisms of their knot groups
Suzuki, Masaaki
Tran, Anh T.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2018, 242 : 66 - 72
[42] Legendrian non-simple two-bridge knots
Viktória Földvári
[J]. Periodica Mathematica Hungarica, 2019, 79 : 12 - 24
[43] Legendrian non-simple two-bridge knots
Foldvari, Viktoria
[J]. PERIODICA MATHEMATICA HUNGARICA, 2019, 79 (01) : 12 - 24
[44] On two-bridge knots and a conjecture of Hirasawa-Murasugi
Chen, Wenzhao
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2021, 30 (02)
[45] Two-bridge knots admit no purely cosmetic surgeries
Ichihara, Kazuhiro
Jong, In Dae
Mattman, Thomas W.
Saito, Toshio
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2021, 21 (05): : 2411 - 2424
[46] COLORINGS OF TORUS KNOTS AND THEIR TWIST-SPUNS BY ALEXANDER QUANDLES OVER FINITE FIELDS
Asami, Soichiro
Kuga, Ken'ichi
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2009, 18 (09) : 1259 - 1270
[47] Remarks on the minimalities of two-bridge knots in the ribbon concordance poset
Tagami, Keiji
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2023, 30 (03) : 317 - 327
[48] VOLUMES OF TWO-BRIDGE CONE MANIFOLDS IN SPACES OF CONSTANT CURVATURE
A. D. MEDNYKH
[J]. Transformation Groups, 2021, 26 : 601 - 629
[49] Canonical decompositions of hyperbolic fibered two-bridge link complements
Sakata, Naoki
[J]. TOPOLOGY AND ITS APPLICATIONS, 2015, 196 : 821 - 845
[50] On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots
Ohtsuki, Tomotada
Takata, Toshie
[J]. GEOMETRY & TOPOLOGY, 2015, 19 (02) : 853 - 952

← 1 2 3 4 5 →