On the asymptotic linking number

Details On the asymptotic linking number On the asymptotic linking number

2000-11-21

arxiv.org/abs/math/0011159v2

Mathematics

Dynamical Systems

9 pages, submitted to Comm. Math. Phys typo corrected

Scientific paper

We prove a theorem formulated by V. I. Arnold concerning a relation between
the asymptotic linking number and the Hopf invariant of divergence-free vector
fields. Using a modified definition for the system of short paths, we prove
their existence in the general case.

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