Basic cohomology for riemannian foliations

Martinxo Saralegi-Aranguren and Robert A. Wolak

E-mail: wolak@im.uj.edu.pl

Abstract. We present results on basic forms and basic cohomology for singular Riemannian foliations. Finally, we develop a basis for the theory of the basic intersection cohomology for these foliations.

AMSclassification. 57R30

Keywords. Foliation, cohomology, Riemannian