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The trunkenness of a volume-preserving vector field

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 Added by Pierre Dehornoy
 Publication date 2016
  fields Physics
and research's language is English




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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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