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

Details Homotopical Dynamics II: Hopf invariants, smoothings and the Morse complex Homotopical Dynamics II: Hopf invariants, smoothings and the Morse complex

1998-12-17

arxiv.org/abs/math/9812103v1

Mathematics

Geometric Topology

26 pages

Scientific paper

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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