Manifolds with Singularities and the Adams-Novikov Spectral Sequence

Boris I. Botvinnik

doi:10.1017/CBO9780511662645

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

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Logical interdependence of the sections
pp vii-viii
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Preface
pp ix-xvi
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1 - Manifolds with singularities
pp 1-38
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2 - Product structures
pp 39-80
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3 - The Adams-Novikov spectral sequence
pp 81-122
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4 - First differential of ANSS
pp 123-170
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Bibliography
pp 171-181
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Manifolds with Singularities and the Adams-Novikov Spectral Sequence

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Logical interdependence of the sections
pp vii-viii

Preface
pp ix-xvi

1 - Manifolds with singularities
pp 1-38

2 - Product structures
pp 39-80

3 - The Adams-Novikov spectral sequence
pp 81-122

4 - First differential of ANSS
pp 123-170

Bibliography
pp 171-181

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Manifolds with Singularities and the Adams-Novikov Spectral Sequence

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