A correspondence between higher Adams differentials and higher algebraic Novikov differentials at odd primes. (English) Zbl 1522.14032
Summary: This paper studies the higher differentials of the classical Adams spectral sequence at odd primes. In particular, we follow the “cofiber of \(\tau\) philosophy” of B. Gheorghe et al. [Acta Math. 226, No. 2, 319–407 (2021; Zbl 1478.55006)] and D. C. Isaksen et al. [Publ. Math., Inst. Hautes Étud. Sci. 137, 107–243 (2023; Zbl 1528.55010)] to show that higher Adams differentials agree with their corresponding higher algebraic Novikov differentials in a certain range.
MSC:
| 14F42 | Motivic cohomology; motivic homotopy theory |
| 55Q45 | Stable homotopy of spheres |
| 55T15 | Adams spectral sequences |
| 55T25 | Generalized cohomology and spectral sequences in algebraic topology |
Keywords:
motivic homotopy theory; stable homotopy of spheres; Adams spectral sequences; algebraic Novikov spectral sequencesReferences:
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