Asymptotic linking of volume-preserving actions of \(\mathbb{R}^k\)

DOI10.1016/j.topol.2023.108441OpenAlexW4318069539MaRDI QIDQ2689789

José Luis Lizarbe Chira, S. J. Paul A. Schweitzer

Publication date: 14 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01823

zbMATH Keywords

asymptotic linkingactions of \(\mathbb{R}^k\)Biot-Savart in higher dimensionlinking invariantlinking of actions

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Topological methods in hydrodynamics
• Pointwise theorems for amenable groups.
• Asymptotic cycles
• The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
• Linking numbers of measured foliations
• On the asymptotic linking number
• Average linking numbers
• Link invariants for flows in higher dimensions
• On the Volume Elements on a Manifold
• Smooth actions of 𝑅ⁿ

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