Homotopical Dynamics II: Hopf invariants, smoothings and the Morse complex
Octavian Cornea
Abstract
The ambient framed bordism class of the connecting manifold of two consecutive critical points of a Morse-Smale function is estimated by means of a certain Hopf invariant. Applications include new examples of non-smoothable Poincare duality spaces as well as an extension of the Morse complex.
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