Title

Topological Helicity for Framed Links

Roles

Student author: Elizabeth Bouzarth

Document Type

Article

Publication Date

12-2004

Department

Mathematics

Language

English

Publication Title

Journal of Knot Theory and Its Ramifications

Abstract

We introduce topological helicity, an invariant for oriented framed links. Topological helicity provides an elementary means of computing helicity for a magnetic flux rope by measuring its knotting, linking, and twisting. We present an equivalence relation, reconnection-equivalence, for framed links and prove that topological helicity is a complete invariant for the resulting equivalence classes. We conclude by showing that one can use magnetic reconnection to transform one collection of linked flux ropes into another collection if and only if they have the same helicity.

Comments

For more information on the published version, visit World Scientific’s Website.

DOI

10.1142/S0218216504003664

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