A theorem of Poincaré-Hopf type

Stéphane Simon (1)

1 LAMA - Laboratoire de Mathématiques

We compute (algebraically) the Euler characteristic of a complex of sheaves with constructible cohomology. A stratified Poincaré-Hopf formula is then a consequence of the smooth Poincaré-Hopf theorem and of additivity of the Euler-Poincaré characteristic with compact supports, once we have a suitable definition of index.

Mots clés: intersection homology; Poincaré-Hopf; vector field; radial

Domaines: Topologie algébrique [math.AT]

Stéphane Simon. A theorem of Poincaré-Hopf type. 2009. ⟨hal-00388853⟩