Strong convergence in the motivic Adams spectral sequence

2019/01/10 by Jonas Irgens Kylling, Kylling, Jonas Irgens, Glen Matthew Wilson +1
Mathematics · #14F42 #55S10 #55T15 #Algebraic Topology (math.AT) #Analytic and geometric function theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1901.03399

openalex publication_date 2019/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove strong convergence results for the motivic Adams spectral sequence of the sphere spectrum over fields with finite virtual cohomological dimension at the prime 2, and over arbitrary fields at odd primes. We show that the motivic Adams spectral sequence is not strongly convergent over number fields. As applications we give bounds on the exponents of the (ℓ,η)-completed motivic stable stems, and calculate the zeroth (ℓ,η)-completed motivic stable stems.

Citations

• Algebraic elliptic cohomology and flops II: SL-cobordism

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