POLYNOMIAL REPRESENTATIONS OF KNOTS

被引：38
|
作者：
SHASTRI, AR
机构：
[1] Department of Mathematics, Indian Institute of Technology, Bombay, 400076, Powai
来源：
TOHOKU MATHEMATICAL JOURNAL | 1992年 / 44卷 / 01期
关键词：
D O I：
10.2748/tmj/1178227371
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that every 1-dimensional knot-type in the three-dimensional Euclidean space has polynomial representations. We also write down specific polynomial expressions for the trefoil knot and the figure eight knot. This result strengthens a conjecture of Abhyankar, that there exist not-rectifiable polynomial embeddings of the complex line in the three-dimensional complex affine space.
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页码：11 / 17
页数：7
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