Morse theory without nondegeneracy

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.

Бібліографічні деталі
Автори: Kirwan, F, Penington, G
Формат: Working paper
Мова:English
Опубліковано: University of Oxford 2020
Опис
Резюме: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.