PERIODICITY, GENERA AND ALEXANDER POLYNOMIALS OF KNOTS

被引：10

作者：

NAIK, S

机构：

[1] University Of Nevada, Reno, NV

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1994年 / 166卷 / 02期

关键词：

D O I：

10.2140/pjm.1994.166.357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For knots in S-3 criteria for periodicity are obtained in terms of the homology groups of cyclic branched covers of S-3 and the Alexander polynomial. Also the relationship between the genus of a periodic knot and the Alexander polynomial is studied. As an application it is shown that no eleven crossing knot has a period greater than 5.

引用

页码：357 / 371

页数：15

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