The s-cobordism theorem seen as a particular case of Latour's theorem

Carlos Moraga Ferrandiz (1)

1 Graduate School of Mathematical Sciences

We show how Latour's theorem can be understood as a natural generalization of the $ s $-cobordism theorem for cohomology classes $ u\in H^1(M;\mathbb{R}) $. The $ s $-cobordism theorem becomes a special degenerate case when $ u=0 $.

Mots clés: Whitehead torsion; s-cobordism; Latour's theorem; Morse-Novikov theory

Domaines: Topologie géométrique [math.GT]

Carlos Moraga Ferrandiz. The s-cobordism theorem seen as a particular case of Latour's theorem. 2014. ⟨hal-00915569v2⟩