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 eatablish that helicity is an isotopy invariant which will be useful to study plasma physics, solar physics and astrophysics.
Keywords- Writh, Isotopy Invariant, Magnetic Field, Reidemeister Moves, Helicity.