Manifolds with Singularities and the Adams-Novikov Spectral Sequence [Paperback]

This book will be of great interest to researchers into algebraic topology.Many interesting results not widely known outside the USSR are brought together in this analysis of the Adams-Novikov spectral sequence, a tool that has enabled the computation of generators and relations to describe homotopy groups.Many interesting results not widely known outside the USSR are brought together in this analysis of the Adams-Novikov spectral sequence, a tool that has enabled the computation of generators and relations to describe homotopy groups.Traditionally, the Adams-Novikov spectral sequence has been a tool that 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.Preface; 1. Manifolds with singularities; 2. Product structures; 3. The AdamsNovikov spectral sequence; 4. First differential of ANSS; Bibliography. 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