Corpus ID: 207930591

Real topological Hochschild homology and the Segal conjecture

  title={Real topological Hochschild homology and the Segal conjecture},
  author={Jeremy Hahn and Dylan Wilson},
  • Jeremy Hahn, Dylan Wilson
  • Published 2019
  • Mathematics
  • We give a new proof, independent of Lin's theorem, of the Segal conjecture for the cyclic group of order two. The key input is a calculation, as a Hopf algebroid, of the Real topological Hochschild homology of $\mathbb{F}_2$. This determines the $\mathrm{E}_2$-page of the descent spectral sequence for the map $\mathrm{N}\mathbb{F}_2 \to \mathbb{F}_2$, where $\mathrm{N}\mathbb{F}_2$ is the $C_2$-equivariant Hill--Hopkins--Ravenel norm of $\mathbb{F}_2$. The $\mathrm{E}_2$-page represents a new… CONTINUE READING

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