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<p>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.</p>

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Real projective groups are formal

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月2日

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  • Ambrus Pál,
  • Gereon Quick

摘要

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.