Trisecting the 9-vertex complex projective plane

Autor:	Schwartz, Richard Evan
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.00595 Zobrazit plný text záznamu View this record from Arxiv