Traditionally the Adams–Novikov spectral sequence has been a tool which has enabled the computation of generators and relations to describe homotopy groups. Here a natural geometric description of the sequence is given in terms of cobordism theory and manifolds with singularities. The author brings together many interesting results not widely known outside the USSR, including some recent work by Vershinin. This book will be of great interest to researchers into algebraic topology.

"Given the wide range of technical tools that are introduced, this book is remarkably focused....will be invaluable for algebraic topologists interested in the achievements of the Russian school." Douglas C. Ravenel, Bulletin of the American Mathematical Society