Pith. sign in

REVIEW 1 cited by

On the periodic topological cyclic homology of DG categories in characteristic p

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 1912.03246 v2 pith:AE5526B7 submitted 2019-12-06 math.AG math.KT

Alexander Petrov , Vadim Vologodsky This is my paper · ORCID
classification math.AGmath.KT
keywords cyclichomologyperiodicadicallycategorycharacteristiccompletedtopological
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We prove that the $p$-adically completed periodic topological cyclic homology of a DG category over a perfect field $k$ of characteristic $p>2$ is isomorphic to the ($p$-adically completed) periodic cyclic homology of a lifting of the DG category over the Witt vectors $W(k)$.

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

  1. THH(Z) and the image of J

    math.AT 2025-05 conditional novelty 8.0 of 10

    For odd primes p, the p-complete topological Hochschild homology of the integers is canonically equivalent, as a cyclotomic E-infinity ring, to the shifted trivial cyclotomic spectrum of the connective image-of-J spectrum.

Pith tools