A Table Theorem for Surfaces with Odd Euler Characteristic
Geometric Topology
2025-03-07 v2 Differential Geometry
Abstract
We use the square peg problem for smooth curves to prove a generalized table Theorem for real valued functions on Riemannian surfaces with odd Euler characteristic. We then use this result to prove the table conjecture for even functions on the two sphere.
Cite
@article{arxiv.2412.01977,
title = {A Table Theorem for Surfaces with Odd Euler Characteristic},
author = {Ali Naseri Sadr},
journal= {arXiv preprint arXiv:2412.01977},
year = {2025}
}