Morse theory without nondegeneracy
Differential Geometry
2020-10-07 v2 High Energy Physics - Theory
Algebraic Topology
Abstract
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components.
Cite
@article{arxiv.1906.10804,
title = {Morse theory without nondegeneracy},
author = {Frances Kirwan and Geoffrey Penington},
journal= {arXiv preprint arXiv:1906.10804},
year = {2020}
}
Comments
39 pages, 2 figures, v2 added examples and other small changes