Classical Knot Theory

被引：3

作者：

Carter, J. Scott ^{[1
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36608 USA

来源：

SYMMETRY-BASEL | 2012年 / 4卷 / 01期

关键词：

knots; quandles; fundamental groups; handles; knot colorings; symmetry; surfaces; Klein bottle; projective plane; INVARIANT;

D O I：

10.3390/sym4010225

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot complements.

引用

页码：225 / 250

页数：26

共 50 条

[1] Classical roots of knot theory
Przytycki, JH
CHAOS SOLITONS & FRACTALS, 1998, 9 (4-5) : 531 - 545
[2] Elements of classical knot theory
Weber, C
INTRODUCTION TO THE GEOMETRY AND TOPOLOGY OF FLUID FLOWS, 2001, 47 : 57 - 75
[3] Classical roots of knot theory
George Washington Univ, Washington, United States
Chaos Solitons Fractals, 4-5 (531-545):
[4] Classical knot invariants and elementary number theory
Murasugi, Kunio
Primes and Knots, 2006, 416 : 167 - 196
[5] JONES POLYNOMIALS AND CLASSICAL CONJECTURES IN KNOT-THEORY
MURASUGI, K
TOPOLOGY, 1987, 26 (02) : 187 - 194
[6] Stable knot-like structures in classical field theory
L. Faddeev
Antti J. Niemi
Nature, 1997, 387 : 58 - 61
[7] Stable knot-like structures in classical field theory
Faddeev, L
Niemi, AJ
NATURE, 1997, 387 (6628) : 58 - 61
[8] TOWARDS A CLASSICAL KNOT-THEORY FOR SURFACES IN R-4
GILLER, CA
ILLINOIS JOURNAL OF MATHEMATICS, 1982, 26 (04) : 591 - 631
[9] JONES POLYNOMIALS AND CLASSICAL CONJECTURES IN KNOT-THEORY .2.
MURASUGI, K
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 102 : 317 - 318
[10] Kauffman knot polynomials in classical abelian Chern-Simons field theory
Liu, Xin
ANNALS OF PHYSICS, 2010, 325 (12) : 2641 - 2652

← 1 2 3 4 5 →