The asymptotic mean action and the asymptotic linking number for pseudo-rotations
Dynamical Systems
2023-12-29 v1 Symplectic Geometry
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 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.
Keywords
Cite
@article{arxiv.2312.17087,
title = {The asymptotic mean action and the asymptotic linking number for pseudo-rotations},
author = {David Bechara Senior and Patrice Le Calvez and Abror Pirnapasov},
journal= {arXiv preprint arXiv:2312.17087},
year = {2023}
}
Comments
20 pages, comments welcome