The rectifiable rectangular peg problem

2024/12/30 by Tomohiro Asano, Asano, Tomohiro, Yuichi Ike +1 · 1 citation
Engineering · #FOS: Mathematics #Geometric Topology (math.GT) #Innovations in Concrete and Construction Materials #Metal Forming Simulation Techniques #Metric Geometry (math.MG) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2412.21057

openalex publication_date 2024/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• C⁰-rigidity of Legendrians and coisotropics via sheaf quantization

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