On the homotopy type of L-spectra of the integers
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- On the homotopy type of L-spectra of the integers
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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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Topology |
Vol/bind | 14 |
Udgave nummer | 1 |
Sider (fra-til) | 183-214 |
ISSN | 1753-8416 |
DOI | |
Status | Udgivet - 2021 |
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