Pairs of Morse functions
Classical Analysis and ODEs
2017-03-21 v1 Complex Variables
Differential Geometry
Abstract
The goal of this paper is to classify pairs of Morse functions in general position modulo the action of different groups.In particular, we obtain the classification of generic pairs of Morse functions, with or without target diffeomorphisms, and that of quotients of Morse functions.We will also present a lemma which gives a sufficient condition for two pairs of functions to be conjugated.
Cite
@article{arxiv.1703.06427,
title = {Pairs of Morse functions},
author = {Olivier Thom},
journal= {arXiv preprint arXiv:1703.06427},
year = {2017}
}