activity
20242026
collaborators

7 papers

math.GR2026

-formality for pro-2 Demushkin groups

Ambrus Pál, Ambrus Pál, Gereon Quick

We study a weak form of formality for differential graded algebras, called -formality, and show that the differential graded -algebras of continuous cochains of…

math.AT2026

Non-realizability of a triple Massey product for the algebra

Eivind Xu Djurhuus, Gereon Quick

We show that an often used example of a cohomology algebra with non-vanishing triple Massey product is intrinsically A_3-formal and therefore, in fact, cannot be realized as the co…

math.GR2026

-formality for Demushkin groups at odd primes

Ambrus Pál, Gereon Quick

We study a weak form of formality for differential graded algebras, called -formality, for the cohomology of pro-p Demushkin groups at odd primes p. We show that the different…

math.GR2025

Quasi-Boolean groups

Ambrus Pál, Gereon Quick

We give several equivalent characterisations of the maximal pro-2 quotients of real projective groups. In particular, for pro-2 real projective groups we provide a presentation in…

math.AT2025

A note on the Thom morphism for the classifying space of certain Lie groups and gauge groups

Eiolf Kaspersen, Gereon Quick

We give a complete description of which non-torsion generators are not in the image of the Thom morphism from complex cobordism to integral cohomology for the classifying space of…

math.NT2025

Real projective groups are formal

Ambrus Pál, Gereon Quick

We prove that the mod 2-cohomology algebras of real projective groups are formal. As a consequence we derive the Hopkins-Wickelgren formality and the strong Massey vanishing conjec…