This book consists of reviewed original research papers and expository
articles in index theory (especially on singular manifolds), topology of
manifolds, operator and equivariant K-theory, Hopf cyclic cohomology,
geometry of foliations, residue theory, Fredholm pairs and others, and
applications in mathematical physics. The wide spectrum of subjects
reflects the diverse directions of research for which the starting point
was the Atiyah-Singer index theorem.