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arXiv · 2401.07940

Vassiliev invariants and writhe for periodic orbits of Axiom A flows

Solly Coles
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Abstract

We obtain asymptotics for the average value taken by a Vassiliev invariant on knots appearing as periodic orbits of an Axiom A flow on $S^3.$ The methods used also give asymptotics for the writhe of periodic orbits. Our results are analogous to those of G. Contreras for average linking numbers.

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Solly Coles. 2024-01-15. Vassiliev invariants and writhe for periodic orbits of Axiom A flows. https://doi.org/10.1017/etds.2025.7

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