LECTURES ON THE MORSE COMPLEX FOR INFINITE-DIMENSIONAL MANIFOLDS

Autor:	Alberto Abbondandolo, Pietro Majer
Rok vydání:	2005
Předmět:	Tangent bundle Pure mathematics Morse homology Handle decomposition Mathematical analysis Discrete Morse theory Banach manifold Morse–Smale system Mathematics::Symplectic Geometry Circle-valued Morse theory Mathematics Morse theory
Zdroj:	Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology ISBN: 1402042728
Popis:	After reviewing some classical results about hyperbolic dynamics in a Banach setting, we describe the Morse complex for gradient-like flows on an infinite-dimensional Banach manifold M, under the assumption that rest points have finite Morse index. Then we extend these ideas to rest points with infinite Morse index and co-index, by using a suitable subbundle of the tangent bundle of M as a comparison object.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b1f8cd624bffc89371da1632b6804297 https://doi.org/10.1007/1-4020-4266-3_01 Zobrazit plný text záznamu