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.

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Kirwan, F, Penington, G
Формат: Working paper
Хэл сонгох:English
Хэвлэсэн: University of Oxford 2020
Тодорхойлолт
Тойм: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.