Homotopical Dynamics Ii: Hopf Invariants, Smoothings and the Morse Complex
نویسندگان
چکیده
– 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 Poincaré duality spaces as well as an extension of the Morse complex. 2002 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – La classe ambiante de bordisme stablement parallélisé de la variété des trajectoires hétéroclines associée à deux points critiques successifs d’une fonction de Morse–Smale est calculée en fonction d’un certain invariant de Hopf. Dans les applications dont nous traitons, on trouvera notamment la construction de nouveaux exemples d’espaces à dualité de Poincaré qui ne sont pas lissables et une généralisation du complexe de Morse. 2002 Éditions scientifiques et médicales Elsevier SAS
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