Lê Cycles, Vanishing Cycles, and Thom’s a_f Condition

Carte non disponible

Date/heure
Date(s) - 7 janvier 2013

Catégories Pas de Catégories


The constancy of the Lê numbers along a submanifold M in a hypersurface V(f) implies that Thom’s a_f condition is satisfied between the ambient stratum and M. I will calculate an example explicitly. Then, I will discuss a generalization of this result that relates the a_f condition to a weak form of constructibility of the vanishing cycles along f of an arbitrary complex of sheaves.

Lê Cycles, Vanishing Cycles, and Thom’s a_f Condition

Carte non disponible

Date/heure
Date(s) - 7 février 2013

Catégories Pas de Catégories


The constancy of the Lê numbers along a submanifold M in a hypersurface V(f) implies that Thom’s a_f condition is satisfied between the ambient stratum and M. I will calculate an example explicitly. Then, I will discuss a generalization of this result that relates the a_f condition to a weak form of constructibility of the vanishing cycles along f of an arbitrary complex of sheaves.