Commuting matrices and Atiyah's Real K-theory

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

In: arXiv.org, Vol. arXiv:1807.06864, 2019.

Research output: Contribution to journalJournal articleResearch

Harvard

Hausmann, M & Gritschacher, SP 2019, 'Commuting matrices and Atiyah's Real K-theory', arXiv.org, vol. arXiv:1807.06864.

APA

Hausmann, M., & Gritschacher, S. P. (2019). Commuting matrices and Atiyah's Real K-theory. Manuscript submitted for publication.

Vancouver

Hausmann M, Gritschacher SP. Commuting matrices and Atiyah's Real K-theory. arXiv.org. 2019;arXiv:1807.06864.

Author

Hausmann, Markus ; Gritschacher, Simon Philipp. / Commuting matrices and Atiyah's Real K-theory. In: arXiv.org. 2019 ; Vol. arXiv:1807.06864.

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 = "Markus Hausmann and Gritschacher, {Simon Philipp}",
year = "2019",
language = "English",
volume = "arXiv:1807.06864",
journal = "arXiv.org",

}

RIS

TY - JOUR

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

AU - Hausmann, Markus

AU - Gritschacher, Simon Philipp

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.

M3 - Journal article

VL - arXiv:1807.06864

JO - arXiv.org

JF - arXiv.org

ER -

ID: 211219237