Morse theory without nondegeneracy

Author: 

Kirwan, F
Penington, G

Publication Date: 

17 December 2020

Journal: 

Quarterly Journal of Mathematics

Last Updated: 

2021-08-02T12:11:21.903+01:00

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.

Symplectic id: 

1140035

Submitted to ORA: 

Submitted

Publication Type: 

59