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Finite-type invariants of magnetic lines

Finite-type invariants of magnetic lines

Paperback

General Mathematics

ISBN10: 3659664839
ISBN13: 9783659664830
Publisher: LAP Lambert Academic Publishing
Published: Oct 6 2016
Pages: 92
Weight: 0.30
Height: 0.22 Width: 6.00 Depth: 9.00
Language: English
Properties of magnetic flows are described using high dimensional configuration spaces. Arnold asymptotic ergodic invariant of magnetic lines is the basic example. Asymptotic invariants of magnetic lines are related to stable homotopy groups of spheres, are detected by Postnikov k-invariants. Anosov flows on 3D homology spheres are models of stable magnetic knots. Finite-type invariants of magnetic line are required to describe properties of turbulent flows and determine constraints in magnetic feld relaxation with free boundary.

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General Mathematics