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

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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.
26 pages

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Geometric Topology, Algebraic Topology, Dynamical Systems, Symplectic Geometry, 58F09, 55Q50 (Primary) 57R70, 58F25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77860

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812103
 http://arxiv.org/abs/math/9812103

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arXiv