Commuting matrices and Atiyah's Real K-theory

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Standard

Commuting matrices and Atiyah's Real K-theory. / Gritschacher, Simon Philipp; Hausmann, Markus.

I: Journal of Topology, Bind 12, Nr. 3, 2019, s. 833-854.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Gritschacher, SP & Hausmann, M 2019, 'Commuting matrices and Atiyah's Real K-theory', Journal of Topology, bind 12, nr. 3, s. 833-854. https://doi.org/10.1112/topo.12104

APA

Gritschacher, S. P., & Hausmann, M. (2019). Commuting matrices and Atiyah's Real K-theory. Journal of Topology, 12(3), 833-854. https://doi.org/10.1112/topo.12104

Vancouver

Gritschacher SP, Hausmann M. Commuting matrices and Atiyah's Real K-theory. Journal of Topology. 2019;12(3):833-854. https://doi.org/10.1112/topo.12104

Author

Gritschacher, Simon Philipp ; Hausmann, Markus. / Commuting matrices and Atiyah's Real K-theory. I: Journal of Topology. 2019 ; Bind 12, Nr. 3. s. 833-854.

Bibtex

@article{68f2023db63942afa9514ac5c5aad7d1,
title = "Commuting matrices and Atiyah's Real K-theory",
abstract = "We describe the C2-equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calculation of the homotopy groups of the space of commuting n-tuples in the stable orthogonal group, as well as of the coefficient ring for commutative orthogonal K-theory.",
author = "Gritschacher, {Simon Philipp} and Markus Hausmann",
year = "2019",
doi = "10.1112/topo.12104",
language = "English",
volume = "12",
pages = "833--854",
journal = "Journal of Topology",
issn = "1753-8416",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Commuting matrices and Atiyah's Real K-theory

AU - Gritschacher, Simon Philipp

AU - Hausmann, Markus

PY - 2019

Y1 - 2019

N2 - We describe the C2-equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calculation of the homotopy groups of the space of commuting n-tuples in the stable orthogonal group, as well as of the coefficient ring for commutative orthogonal K-theory.

AB - We describe the C2-equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calculation of the homotopy groups of the space of commuting n-tuples in the stable orthogonal group, as well as of the coefficient ring for commutative orthogonal K-theory.

U2 - 10.1112/topo.12104

DO - 10.1112/topo.12104

M3 - Journal article

VL - 12

SP - 833

EP - 854

JO - Journal of Topology

JF - Journal of Topology

SN - 1753-8416

IS - 3

ER -

ID: 211219237