A Solution to the Periodic Square Peg Problem
Symplectic Geometry
2024-07-31 v1 Metric Geometry
Abstract
We resolve the periodic square peg problem using a simple Lagrangian Floer homology argument. Inscribed squares are interpreted as intersections between two non-displaceable Lagrangian sub-manifolds of a symplectic 4-torus.
Cite
@article{arxiv.2407.20412,
title = {A Solution to the Periodic Square Peg Problem},
author = {Cole Hugelmeyer},
journal= {arXiv preprint arXiv:2407.20412},
year = {2024}
}