Manifolds with Singularities and the Adams-Novikov Spectral Sequence (London Mathematical Society Lecture Note Series, Series Number 170) - Softcover

Book 151 of 387: London Mathematical Society Lecture Notes

Botvinnik, Boris I.

 
9780521426084: Manifolds with Singularities and the Adams-Novikov Spectral Sequence (London Mathematical Society Lecture Note Series, Series Number 170)

Synopsis

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.

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Book Description

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.

Review

"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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