On the homotopy type of L-spectra of the integers

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On the homotopy type of L-spectra of the integers. / Hebestreit, Fabian; Land, Markus; Nikolaus, Thomas.

I: Journal of Topology, Bind 14, Nr. 1, 2021, s. 183-214.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Hebestreit, F, Land, M & Nikolaus, T 2021, 'On the homotopy type of L-spectra of the integers', Journal of Topology, bind 14, nr. 1, s. 183-214. https://doi.org/10.1112/topo.12180

APA

Hebestreit, F., Land, M., & Nikolaus, T. (2021). On the homotopy type of L-spectra of the integers. Journal of Topology, 14(1), 183-214. https://doi.org/10.1112/topo.12180

Vancouver

Hebestreit F, Land M, Nikolaus T. On the homotopy type of L-spectra of the integers. Journal of Topology. 2021;14(1):183-214. https://doi.org/10.1112/topo.12180

Author

Hebestreit, Fabian ; Land, Markus ; Nikolaus, Thomas. / On the homotopy type of L-spectra of the integers. I: Journal of Topology. 2021 ; Bind 14, Nr. 1. s. 183-214.

Bibtex

@article{af15c133e1b24711b067672360374850,
title = "On the homotopy type of L-spectra of the integers",
abstract = "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.",
keywords = "18F25 (secondary), 19G24, 55U20 (primary)",
author = "Fabian Hebestreit and Markus Land and Thomas Nikolaus",
year = "2021",
doi = "10.1112/topo.12180",
language = "English",
volume = "14",
pages = "183--214",
journal = "Journal of Topology",
issn = "1753-8416",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - On the homotopy type of L-spectra of the integers

AU - Hebestreit, Fabian

AU - Land, Markus

AU - Nikolaus, Thomas

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - 18F25 (secondary)

KW - 19G24

KW - 55U20 (primary)

UR - http://www.scopus.com/inward/record.url?scp=85102313415&partnerID=8YFLogxK

U2 - 10.1112/topo.12180

DO - 10.1112/topo.12180

M3 - Journal article

AN - SCOPUS:85102313415

VL - 14

SP - 183

EP - 214

JO - Journal of Topology

JF - Journal of Topology

SN - 1753-8416

IS - 1

ER -

ID: 261513751