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arXiv · 2312.17087

The asymptotic mean action and the asymptotic linking number for pseudo-rotations

David Bechara Senior·Patrice Le Calvez·Abror Pirnapasov
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Abstract

We establish that the asymptotic mean action and the asymptotic linking number of irrational pseudo-rotations remain well-defined everywhere and constant for every $C^{1}$ irrational pseudo-rotation that behaves as a rotation on the boundary. As a consequence, we demonstrate that the isotopy of irrational pseudo-rotations with a positive rotation number is a right-handed isotopy in the sense of Ghys.

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David Bechara Senior, Patrice Le Calvez, Abror Pirnapasov. 2023-12-28. The asymptotic mean action and the asymptotic linking number for pseudo-rotations. https://arxiv.org/abs/2312.17087

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