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Brown-Peterson Homology: An Introduction and Sampler

About this Title

W. Stephen Wilson

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1982; Volume 48
ISBNs: 978-0-8218-1699-8 (print); 978-1-4704-2410-7 (online)
DOI: https://doi.org/10.1090/cbms/048
MathSciNet review: MR655040
MSC: Primary 55N22; Secondary 55P20, 55P42, 55Q45, 55S25

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Table of Contents

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Front/Back Matter

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Chapters

• Introduction
• Section 1. Complex bordism
• Section 2. Formal groups
• Section 3. Brown-Peterson homology
• Section 4. Cooperation and stable homotopy
• Section 5. Associated homology theories
• Section 6. Morava’s little structure theorem and the Conner-Floyd conjecture
• Section 7. Hopf rings, the bar spectral sequence, and $K(n)_*\underline {K}_*$
• Section 8. $H_*\underline {K}_*$ and the Steenrod algebra
• Section 9. Two formal groups and $BP_*\underline {BP}_*$
• Section 10. Chan’s proof of no torsion in $H_*\underline {BP}_*$
• Section 11. Unstable operations