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arXiv · 2508.02501

On the Lagrangian Hofer geometry of Clifford tori

Frol Zapolsky
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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.

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Frol Zapolsky. 2025-08-04. On the Lagrangian Hofer geometry of Clifford tori. https://arxiv.org/abs/2508.02501

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