Real topological Hochschild homology and the Segal conjecture

نویسندگان

چکیده

We give a new proof, independent of Lin's theorem, the Segal conjecture for cyclic group order two. The key input is calculation, as Hopf algebroid, Real topological Hochschild homology F2. This determines E2-page descent spectral sequence map NF2?F2, where NF2 C2-equivariant Hill–Hopkins–Ravenel norm represents upper bound on RO(C2)-graded homotopy NF2, from which an immediate corollary.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2021

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2021.107839