Real projective groups are formal
File(s)
Published version
Author(s)
Pál, Ambrus
Quick, Gereon
Type
Journal Article
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.
Date Issued
2025-06-01
Date Acceptance
2025-03-07
Citation
Mathematische Annalen, 2025, 392 (2), pp.1833-1876
ISSN
0025-5831
Publisher
Springer
Start Page
1833
End Page
1876
Journal / Book Title
Mathematische Annalen
Volume
392
Issue
2
Copyright Statement
© The Author(s) 2025 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
10.1007/s00208-025-03145-2
Subjects
Mathematics Subject Classification 12G05
16E40
18N40
55S30
Publication Status
Published
Date Publish Online
2025-04-02