Controlled connectivity of closed 1-forms.
Schütz, D. (2002)
Algebraic & Geometric Topology
Similarity:
Displaying similar documents to “Homotopical dynamics II : Hopf invariants, smoothings and the Morse complex”
Controlled connectivity of closed 1-forms.
Parametrized -cobordism theory
Allen E. Hatcher (1973)
Annales de l'institut Fourier
Similarity:
This paper gives an expository account of the author’s work on the “second” obstruction to deforming a pseudo-isotopy on a smooth compact manifold to an isotopy. Using earlier results on the “first” obstruction, due independently to J.B. Wagoner and the author, this completes the generalization of J. Cerf’s pseudo-isotopy theorem to the non-simply-connected case.
On closed 4-manifolds admitting a Morse function with 4 critical points
Wenxue Huang (1996)
Czechoslovak Mathematical Journal
Similarity:
Superlinear elliptic equations
A. Bahri (1986-1987)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
On the Novikov complex for rational Morse forms
Andrei Vladimirovich Pazhitnov (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Homotopical dynamics of gradient flows
Octavian Cornea (1998)
Banach Center Publications
Similarity:
In this paper we will be interested in results surrounding the following basic question: what are the homotopy properties that one can extract from a gradient flow? We approach this question by decomposing it into three parts: 1. Identify what are the homotopical objects that are provided by the flow (e.g. critical points, Conley indexes). 2. Discover what are the relations that have to be satisfied by these objects (e.g. Morse inequalities, Lusternik-Schnirelmann type inequalities)....