Morse-Smale-Witten complex for gradient-like vector fields on stratified spaces

Ludwig, Ursula

Research article (book contribution) | Peer reviewed

Abstract

The aim of this article is to generalise the notion of gradient-like vec- tor fields to stratified spaces and to establish the associated Morse-Smale-Witten complex. The Morse-inequalities which relate the number of singular points of the vector field to the homology of the stratified space are a consequence of the existence of this complex.

Details about the publication

PublisherChéniot, Denis (ed.) et al.
Book titleSingularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24--February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday
Page range683-713
Publishing companyWorld Scientific Publishing
Place of publicationSingapore
StatusPublished
Release year2007
Language in which the publication is writtenEnglish
ISBN978-981-270-410-8
Keywords58E05,58A35

Authors from the University of Münster

Ludwig, Ursula
Professorship of Theoretical Mathematics (Prof. Ludwig)