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The Adams Spectral Sequence for Topological Modular Forms
About this Title
Robert R. Bruner, Wayne State University, Detroit, MI and University of Oslo, Oslo, Norway and John Rognes, University of Oslo, Oslo, Norway
Publication: Mathematical Surveys and Monographs
Publication Year:
2021; Volume 253
ISBNs: 978-1-4704-5674-0 (print); 978-1-4704-6563-6 (online)
DOI: https://doi.org/10.1090/surv/253
Table of Contents
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Front/Back Matter
Chapters
The Adams $E_2$-term
The Adams differentials
- The Adams spectral sequence for $tm\!f$
- The Adams spectral sequence for $tm\!f/2$
- The Adams spectral sequence for $tm\!f/\eta$
- The Adams spectral sequence for $tm\!f/\nu$
The abutment
- The homotopy groups of $tm\!f$
- Duality
- The Adams spectral sequence for the sphere
- Homotopy of some finite cell $tm\!f$-modules
- Odd primes
Appendices
- Calculation of $E_r(tm\!f)$ for $r=3,4,5$
- Calculation of $E_r(tm\!f/2)$ for $r=3,4,5$
- Calculation of $E_r(tm\!f/\eta )$ for $r=3,4$
- Calculation of $E_r(tm\!f/\nu )$ for $r=3,4,5$
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