Real projective groups are formal

Abstract We prove that the mod 2 cohomology algebras of real projective groups are intrinsically formal. As a consequence we derive the Hopkins–Wickelgren formality and the strong Massey vanishing conjecture for a large class of fields.

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Publication Details

Journal
Mathematische Annalen
Published
2025-04-02
DOI
https://doi.org/10.1007/s00208-025-03145-2
Citations
2
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
8.18

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article

Real projective groups are formal

Gereon Quick, Ambrus Pál
2 citations
Mathematische Annalen
Algebraic structures and combinatorial models
8.18
article

Real projective groups are formal

Gereon Quick, Ambrus Pál
article en
2 citations

Abstract

Abstract We prove that the mod 2 cohomology algebras of real projective groups are intrinsically formal. As a consequence we derive the Hopkins–Wickelgren formality and the strong Massey vanishing conjecture for a large class of fields.

Mathematische AnnalenVol. 392(2)
Imperial College London (GB)
Norges Teknisk-Naturvitenskapelige Universitet, Trond Mohn stiftelse, Universitetet i Oslo, Norges Forskningsråd, St. Olavs Hospital Universitetssykehuset i Trondheim, Division of Mathematical Sciences
Openalex Percentile: Top 4%
Algebraic structures and combinatorial models
8.18
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