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A Solution to the Periodic Square Peg Problem

Authors :
Hugelmeyer, Cole
Publication Year :
2024

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.

Subjects

Subjects :
Mathematics - Symplectic Geometry
Mathematics - Metric Geometry
53D99, 51F99

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2407.20412
Document Type :
Working Paper

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