Cascades and Perturbed Morse-bott Functions

  • DAVID E. HURTUBISE

Abstract

Let f : M → R be a Morse-Bott function on a finite dimensional closed smooth manifold M . Choosing an appropriate Riemannian metric on M and Morse-Smale functions fj : Cj → R on the critical submanifolds Cj, one can construct a Morse chain complex whose boundary operator is defined by counting cascades [16]. Similar data, which also includes a parameter… (More)

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