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Symplectic cobordism and the computation of stable stems

About this Title

Stanley O. Kochman

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 104, Number 496
ISBNs: 978-0-8218-2558-7 (print); 978-1-4704-0073-6 (online)
DOI: https://doi.org/10.1090/memo/0496
MathSciNet review: 1147349
MSC: Primary 55N22; Secondary 55Q45, 55T15

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Table of Contents

Chapters

  • The symplectic cobordism ring III
  • 1. Introduction
  • 2. Higher differentials—Theory
  • 3. Higher differentials—Examples
  • 4. The Hurewicz homomorphism
  • 5. The spectrum msp
  • 6. The image of $\Omega ^*_{Sp}$ in $\mathfrak {N}^*$
  • 7. On the image of $\pi ^S_*$ in $\Omega ^*_{Sp}$
  • 8. The first hundred stems
  • The symplectic Adams Novikov spectral sequence for spheres
  • 1. Introduction
  • 2. Structure of $M\,Sp_*$
  • 3. Construction of $\Lambda ^*_{Sp}$—The first reduction theorem
  • 4. Admissibility relations
  • 5. Construction of $\Lambda ^*_{Sp}$—The second reduction theorem
  • 6. Homology of $\Gamma ^*_{Sp}$—The Bockstein spectral sequence
  • 7. Homology of $\Lambda [\alpha _t]$ and $\Lambda [\eta \alpha _t]$
  • 8. The Adams-Novikov spectral sequence