Topological structure of Morse functions on the projective plane
Geometric Topology
2023-03-08 v1
Abstract
To investigate the topological structure of Morse functions on the projective plane we use the Reeb graphs. We describe it properties and prove that it is a complete topological invariant of simple Morse function on . We prove recurent formulas for the number of Reeb graphs with the given number of sadles (vertex).
Cite
@article{arxiv.2303.03850,
title = {Topological structure of Morse functions on the projective plane},
author = {Svitlana Bilun and Alexandr Prishlyak and Serhii Stas and Alina Vlasenko},
journal= {arXiv preprint arXiv:2303.03850},
year = {2023}
}
Comments
8 pages, 4 figures