A transverse index theorem in the calculus of filtered manifolds (Q6611755)

In this paper, the author investigates a transverse index theorem in the calculus of filtered manifolds. Concretely, he uses filtrations of the tangent bundle of a manifold starting with an integrable subbundle to define transverse symbols to the corresponding foliation, defines a condition of transversally Rockland, and proves that transversally Rockland operators yield a K-homology class.