Trisecting the 9-vertex complex projective plane
Algebraic Topology
2022-07-05 v4
Abstract
In this paper we will give a short and direct proof that Wolfgang Kuehnel's 9-vertex triangulation of the complex projective plane really is the complex projective plane. The idea of our proof is to recall the trisection of the complex projective plane into 3 bi-disks and then to see this trisection inside a symmetry-breaking subdivision of the triangulation. Following the basic proof, we will elaborate on the construction.
Keywords
Cite
@article{arxiv.2205.00595,
title = {Trisecting the 9-vertex complex projective plane},
author = {Richard Evan Schwartz},
journal= {arXiv preprint arXiv:2205.00595},
year = {2022}
}
Comments
This is the version that will appear as an article in the Mathematical Intelligencer. I revised the paper according to the many helpful comments of a referee who had a supernatural understanding of this complex