The trunkenness of a volume-preserving vector field

2016/06/06 by Pierre Dehornoy, Ana Rechtman, Dehornoy, Pierre +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1606.01639

Abstract

We construct a new invariant-the trunkenness-for volume-perserving vector fields on S³ up to volume-preserving diffeomorphism. We prove that the trunkenness is independent from the helicity and that it is the limit of a knot invariant (called the trunk) computed on long pieces of orbits.

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