ON THE BRAID INDEX OF ALTERNATING LINKS

被引：100

作者：

MURASUGI, K

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 326卷 / 01期

关键词：

ALTERNATING KNOT; ALTERNATING LINK; BRAID; JONES POLYNOMIAL; BRAID INDEX;

D O I：

10.2307/2001863

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, at least for an alternating fibered link or 2-bridge link L, there is an exact formula which expresses the braid index b(L) of L as a function of the 2-variable generalization P(L)(l, m) of the Jones polynomial.

引用

页码：237 / 260

页数：24

共 23 条

[1] A lemma on systems of knotted curves [J].

Alexander, JW .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1923, 9 :93-95

[2]

[Anonymous], KOBE J MATH

[3]

Birman J. S., 1974, ANN MATH STUDIES, V82

[4]

Burde G., 1985, KNOTS

[5] A NEW POLYNOMIAL INVARIANT OF KNOTS AND LINKS [J].

FREYD, P ;

YETTER, D ;

HOSTE, J ;

LICKORISH, WBR ;

MILLETT, K ;

OCNEANU, A .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 12 (02) :239-246

[6]

Gabai D., 1981, CONT MATH AMS, V20, P131

[7] HECKE ALGEBRA REPRESENTATIONS OF BRAID-GROUPS AND LINK POLYNOMIALS [J].

JONES, VFR .

ANNALS OF MATHEMATICS, 1987, 126 (02) :335-388

[8]

KOBAYASHI K, GENUS LINK DEGREE NE

[9]

KOBAYASHI K, MINIMUM NUMBER SEIFE

[10] A POLYNOMIAL INVARIANT OF ORIENTED LINKS [J].

LICKORISH, WBR ;

MILLETT, KC .

TOPOLOGY, 1987, 26 (01) :107-141

← 1 2 3 →