A SIMPLE ENERGY FUNCTION FOR KNOTS

被引：45

作者：

BUCK, G ^{[1
]}

ORLOFF, J ^{[1
]}

机构：

[1] ST ANSELM COLL,DEPT MATH,MANCHESTER,NH 03102

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 61卷 / 03期

关键词：

KNOT; ENERGY; ENERGY OF A KNOT; COMPLEXITY OF A KNOT;

D O I：

10.1016/0166-8641(94)00024-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An energy function is defined for C-2 knots. It is shown that the function has several attractive qualities: it is scale invariant; it ''blows up'' if the knot is self-intersecting (so that on the energy hypersurface knot types are separated by infinitely high potential walls); it has a relatively simple definition and a pseudo-physical interpretation.

引用

页码：205 / 214

页数：10

共 11 条

[1]

BRAKKE K, EVOLVER SOFTWARE

[2] MOBIUS INVARIANCE OF KNOT ENERGY [J].