Mathematics – Algebraic Topology
Scientific paper
2009-05-28
Mathematics
Algebraic Topology
Scientific paper
We compute (algebraically) the Euler characteristic of a complex of sheaves
with constructible cohomology. A stratified Poincar\'e-Hopf formula is then a
consequence of the smooth Poincar\'e-Hopf theorem and of additivity of the
Euler-Poincar\'e characteristic with compact supports, once we have a suitable
definition of index.
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