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<p>We give counterexamples to the evenness conjecture for homotopical equivariant cobordism. To this end, we prove a completion theorem for certain complex cobordism modules which does not involve higher derived functors. A key step in the proof is provided by a certain new relation between Mackey and Borel cohomology.</p>

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On Completion and the Evenness Conjecture for Homotopical Equivariant Cobordism

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Sophie Kriz

摘要

We give counterexamples to the evenness conjecture for homotopical equivariant cobordism. To this end, we prove a completion theorem for certain complex cobordism modules which does not involve higher derived functors. A key step in the proof is provided by a certain new relation between Mackey and Borel cohomology.