Manifolds with Singularities and the Adams-Novikov Spectral Sequence

by Boris I. Botvinnik

Overview

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.

Product Details

ISBN-13:	9780521426084
Publisher:	Cambridge University Press
Publication date:	07/23/1992
Series:	London Mathematical Society Lecture Note Series , #170
Pages:	200
Product dimensions:	6.06(w) x 9.09(h) x 0.59(d)

Table of Contents

Preface; 1. Manifolds with singularities; 2. Product structures; 3. The Adams–Novikov spectral sequence; 4. First differential of ANSS; Bibliography.

Editorial Reviews

"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

From the Publisher