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.

书目详细资料
Main Authors: Kirwan, F, Penington, G
格式: Working paper
语言:English
出版: University of Oxford 2020
实物特征
总结: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.