On double-torus knots (II)

被引:11
作者
Hill, P [1 ]
Murasugi, K [1 ]
机构
[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
关键词
knot; link; braid; torus knot; fibred knot; Alexander polynomial;
D O I
10.1142/S0218216500000359
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A double-torus knot is a knot embedded in a genus two Heegaard surface T in S-3. We consider double-torus knots L such that T-L is connected, and consider fibred knots in various classes.
引用
收藏
页码:617 / 667
页数:51
相关论文
共 25 条
[1]   HYPERBOLIC INVARIANTS OF KNOTS AND LINKS [J].
ADAMS, C ;
HILDEBRAND, M ;
WEEKS, J .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 326 (01) :1-56
[2]  
BERGE D, PREPRINT
[3]  
Birman J., 1983, Contemp. Math., V20, P1, DOI DOI 10.1090/CONM/020/718132
[4]  
BLEILER S, 1997, 2 GENERATOR SATELLIT
[5]  
BRITTENHAM M, 1999, J KNOT THEOR RAMIF, V28, P412
[6]  
Burde G., 1985, Knots
[7]   Non-simple links with tunnel number one [J].
EudaveMunoz, M ;
Uchida, Y .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (05) :1567-1575
[9]   DETECTING FIBERED LINKS IN S(3) [J].
GABAI, D .
COMMENTARII MATHEMATICI HELVETICI, 1986, 61 (04) :519-555
[10]   On double-torus knots (I) [J].
Hill, P .
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 1999, 8 (08) :1009-1048