The rectifiable rectangular peg problem
arXiv:2412.21057
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.
30 pages, v3:Revised. v2:An error in Section 5 fixed. Many typos fixed