On the homotopy type of L-spectra of the integers

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Dokumenter

  • Fabian Hebestreit
  • Markus Land
  • Thomas Nikolaus

We show that quadratic and symmetric (Formula presented.) -theory of the integers are related by Anderson duality and that both spectra split integrally into the (Formula presented.) -theory of the real numbers and a generalised Eilenberg–Mac Lane spectrum. As a consequence, we obtain a corresponding splitting of the space (Formula presented.). Finally, we prove analogous results for the genuine L-spectra recently devised for the study of Grothendieck–Witt theory.

OriginalsprogEngelsk
TidsskriftJournal of Topology
Vol/bind14
Udgave nummer1
Sider (fra-til)183-214
ISSN1753-8416
DOI
StatusUdgivet - 2021

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