Author:
ENCISO ALBERTO,PERALTA-SALAS DANIEL
Abstract
In the context of magnetic fields generated by wires, we study the connection between the topology of the wire and the topology of the magnetic lines. We show that a generic knotted wire has a magnetic line of the same knot type, but that given any pair of knots there is a wire isotopic to the first knot having a magnetic line isotopic to the second. These questions can be traced back to Ulam in 1935.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference15 articles.
1. Linked and knotted beams of light
2. Ubiquity of chaotic magnetic-field lines generated by three-dimensionally crossed wires in modern electric circuits;Hosoda;Phys. Rev. E,2009
3. 4. On Vortex Atoms
4. Knots and links in steady solutions of the Euler equation
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