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Cobordisms and Spectral Sequences
V. V. Vershinin, Russian Academy of Sciences, Novosibirsk, Russia
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Translations of Mathematical Monographs
1993; 97 pp; hardcover
Volume: 130
ISBN-10: 0-8218-4582-9
ISBN-13: 978-0-8218-4582-0
List Price: US$49
Member Price: US$39.20
Order Code: MMONO/130
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Cobordism is one of the most basic notions of algebraic topology. This book is devoted to spectral sequences related to cobordism theory: the spectral sequence of a singularity, the Adams-Novikov spectral sequence, and applications of these and other sequences to the investigation of cobordism rings.

Readership

Research mathematicians.

Reviews

"The highlight of the book for the reviewer was the last chapter where the importance of [Ray] elements is explained."

-- Mathematical Reviews

Table of Contents

  • Introduction
  • Bordism with singularities
  • Quadrilateral of spectral sequences
  • Spectral sequences for \(MSp\)
  • Symplectic cobordism with singularities
  • Orientability and splitting of spectra
  • Tables
  • References
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