Bounds on exceptional Dehn filling

被引:87
作者
Agol, Ian [1 ]
机构
[1] Univ Melbourne, Dept Math, Parkville, Vic 3052, Australia
关键词
Hyperbolic; Dehn filling; word-hyperbolic;
D O I
10.2140/gt.2000.4.431
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that for a hyperbolic knot complement, all but at most 12 Dehn fillings are irreducible with infinite word-hyperbolic fundamental group.
引用
收藏
页码:431 / 449
页数:19
相关论文
共 15 条
[2]  
Agol I, 1998, THESIS UC SANDIEGO
[3]  
Bestvina M., 1991, J. Amer. Math. Soc, V4, P469
[4]   Spherical space forms and Dehn filling [J].
Bleiler, SA ;
Hodgson, CD .
TOPOLOGY, 1996, 35 (03) :809-833
[5]   PACKING OF SPHERES IN SPACES OF CONSTANT CURVATURE [J].
BOROCZKY, K .
ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1978, 32 (3-4) :243-261
[6]  
Cao C, ORIENTABLE CUSPED HY
[7]  
GABAI D, 1985, J DIFFER GEOM, V21, P143
[8]  
Gabai D., 1998, SURVEYS DIFFERENTIAL, VIII, P195
[9]  
Gordon C., 1998, Banach Center Publications, V42, P129
[10]  
Gromov M., 1987, ESSAYS GROUP THEORY