Nombre de Lefschetz basique pour un feuilletage riemannien. (Basic Lefschetz number for a Riemannian foliation) (Q1209819)

The article is part of a more general effort to prove Lefschetz fixed point formulas for singular spaces. The author introduces a ``basic'' Lefschetz number of a geometric endomorphism of a transversally elliptic complex which is associated to a map preserving a Riemannian foliation on a compact manifold and establishes an integral formula to calculate this number.