The rectifiable rectangular peg problem
Symplectic Geometry
2026-01-06 v3 Geometric Topology
Metric Geometry
Abstract
We give an affirmative answer to the rectangular peg problem for a large class of continuous Jordan curves that contains all rectifiable curves and Stromquist's locally monotone curves. Our proof is based on microlocal sheaf theory and inspired by recent work of Greene and Lobb.
Keywords
Cite
@article{arxiv.2412.21057,
title = {The rectifiable rectangular peg problem},
author = {Tomohiro Asano and Yuichi Ike},
journal= {arXiv preprint arXiv:2412.21057},
year = {2026}
}
Comments
30 pages, v3:Revised. v2:An error in Section 5 fixed. Many typos fixed