Work

$A_3$-formality for Demushkin groups at odd primes

Year: 2026

Type: preprint

Abstract: We study a weak form of formality for differential graded algebras, called $A_3$-formality, for the cohomology of pro-p Demushkin groups at odd primes p. We show that the differential graded $\mathbb{F}_p$-algebras of continuous cochains of Demushkin groups with q-invariant not equal 3 are $A_3$-formal, whereas Demushkin groups with q-invariant 3 are not $A_3$-formal. We prove these results by an explicit computation of the Benson-Krause-Schwede canonical class in Hochschild cohomology.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2601.07551

Authors: Pál, Ambrus, Quick, Gereon

Institutions: Eötvös Loránd University, Norwegian University of Science and Technology

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Trond Mohn stiftelse

OpenAlex ID: W7123774974

Cites:

Cited by:

Related to: