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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.
Table of contents:
Preface; 1. Manifolds with singularities; 2. Product structures; 3. The Adams-Novikov spectral sequence; 4. First differential of ANSS; Bibliography.
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.
This book will be of great interest to researchers into algebraic topology.
Table of contents:
Preface; 1. Manifolds with singularities; 2. Product structures; 3. The Adams-Novikov spectral sequence; 4. First differential of ANSS; Bibliography.
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.
This book will be of great interest to researchers into algebraic topology.