Morse theory without nondegeneracy

Author: 

Kirwan, F
Penington, G

Publication Date: 

8 January 2021

Journal: 

Quarterly Journal of Mathematics

Last Updated: 

2021-10-19T13:24:05.22+01:00

DOI: 

10.1093/qmath/haaa064

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: 

1149902

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article