On the Lagrangian Hofer geometry of Clifford tori
Symplectic Geometry
2025-08-05 v1
Abstract
We show that the space of Lagrangians which are Hamiltonian isotopic to the Clifford torus in a complex projective space or in the four-dimensional quadric, taken with Chekanov's Lagrangian Hofer metric, contains a quasi-isometric copy of the real line, and in particular has infinite diameter.
Cite
@article{arxiv.2508.02501,
title = {On the Lagrangian Hofer geometry of Clifford tori},
author = {Frol Zapolsky},
journal= {arXiv preprint arXiv:2508.02501},
year = {2025}
}
Comments
16 pages; comments welcome