Connection matrices for Morse-Bott flows

Dahisy V. de S. Lima, Ketty A. de Rezende

Abstract


A Connection Matrix Theory approach is presented for Morse-Bott flows $\varphi$ on smooth closed $n$-manifolds by characterizing the set of connection matrices in terms of Morse-Smale perturbations. Further results are obtained on the effect on the set of connection matrices $\mathcal{CM}(S)$ caused by changes in the partial orderings and in the Morse decompositions of an isolated invariant set $S$.

Keywords


Morse decompositions; Conley index; connection matrices; Morse-Bott functions; Morse functions

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