  We obtain a classification of elliptic operators modulo stable homotopy on
manifolds with edges (this is in some sense the simplest class of manifolds
with nonisolated singularities). We show that the operators are classified by
the K-homology group of the manifold. To this end, we construct exact sequence
in elliptic theory isomorphic to the K-homology exact sequence. The main part
of the proof is the computation of the boundary map using semiclassical
quantization.
