Helicity as isotopy invariant

In this paper we will investigate whether or not the writhe of knot is an isotopy invariant? By adding a parallel strand to an oriented knot/link, we will justify that writhe is a useful isotopy invariant. Since helicity has its origin in knot theory, consequently, we will establish that helicity...

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Bibliographic Details
Main Author: Azram, Mohammad
Format: Article
Language:English
Published: Institute of Research and Journals 2015
Subjects:
Online Access:http://irep.iium.edu.my/43162/
http://irep.iium.edu.my/43162/
http://irep.iium.edu.my/43162/1/6-128-1431762400116-118.pdf
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Summary:In this paper we will investigate whether or not the writhe of knot is an isotopy invariant? By adding a parallel strand to an oriented knot/link, we will justify that writhe is a useful isotopy invariant. Since helicity has its origin in knot theory, consequently, we will establish that helicity is an isotopy invariant which will be useful to study plasma physics, solar physics and astrophysics.