COMPUTING CANONICAL CONFORMATIONS FOR KNOTS

被引：13

作者：

BUCK, G ^{[1
]}

ORLOFF, J ^{[1
]}

机构：

[1] TUFTS UNIV,DEPT MATH,MEDFORD,MA 02155

来源：

TOPOLOGY AND ITS APPLICATIONS | 1993年 / 51卷 / 03期

关键词：

KNOTS; PHYSICAL KNOT THEORY;

D O I：

10.1016/0166-8641(93)90079-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a paper by G. Buck and J. Simon a potential energy function for piecewise linear knots is introduced. This associates an energy surface with any given knot type. Descriptions of the energy surface are in some sense invariants of the knot type. The global minimum might be considered to be a canonical position for the knot. In this paper we discuss an algorithm for computing minimums of the energy: approximation of the gradient flow. Pictures of minima for the trefoil and for the figure eight knot are included.

引用

页码：247 / 253

页数：7