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arXiv · 1606.01639

The trunkenness of a volume-preserving vector field

Pierre Dehornoy·Ana Rechtman
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Abstract

We construct a new invariant-the trunkenness-for volume-perserving vector fields on S^3 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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Pierre Dehornoy, Ana Rechtman. 2016-06-06. The trunkenness of a volume-preserving vector field. https://arxiv.org/abs/1606.01639

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