The motivic Adams-Novikov spectral sequence at odd primes over $\mathbb{C}$ and $\mathbb{R}$

Sven-Torben Stahn

The motivic Adams-Novikov spectral sequence at odd primes over $\mathbb{C}$ and $\mathbb{R}$

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1606.06085 v2 pith:2ZA4BDVK submitted 2016-06-20 math.AT

Sven-Torben Stahn This is my paper · ORCID

classification math.AT

keywords mathbbsequencemotivicspectraladams-novikovbaseprimecompleted

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

We study the motivic Adams-Novikov spectral sequence at an odd prime $l$ over the base fields $\mathbb{C}$ and $\mathbb{R}$. This spectral sequence converges to the stable motivic homotopy groups of the $l$-completed motivic sphere spectrum. We show that the spectral sequence is determined by the topological Adams-Novikov sequence, similar to the situation at the prime two over the base field $\mathbb{C}$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

C_2-equivariant stable homotopy from real motivic stable homotopy
math.AT 2019-08 accept novelty 7.0 of 10

Betti realization identifies the p-complete C2-equivariant stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category, yielding computable RO(C2)-graded homotopy groups...

Pith tools