Homotopical Dynamics II: Hopf invariants, smoothings and the Morse   complex
  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. 
Octavian Cornea