EQUIVARIANT ISOTOPY OF UNKNOTS TO ROUND CIRCLES

被引：3

作者：

FREEDMAN, MH

LUO, F

机构：

[1] UNIV CALIF SAN DIEGO,DEPT MATH,LA JOLLA,CA 92093

[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 64卷 / 01期

关键词：

KNOT; UNKNOTTING; MOBIUS GROUP; MOBIUS ENERGY;

D O I：

10.1016/0166-8641(94)00086-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose that gamma(0) is an unknotted simple closed curve contained in the 3-sphere which happens to be invariant under a subgroup G of the Mobius group of S-3 = the group (generated by inversions in 2-spheres). It is shown that there is an equivariant isotopy gamma(t), 0 less than or equal to t less than or equal to 1, from gamma(0) to a round circle gamma(1).

引用

页码：59 / 74

页数：16

共 7 条

[1]

Bass H., 1984, SMITH CONJECTURE

[2] DIFFEOTOPIES OF LENTICULAR SPACES [J].