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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Odd primary homotopy types of the gauge groups of exceptional Lie groups
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by Sho Hasui, Daisuke Kishimoto, Tseleung So and Stephen Theriault PDF
Proc. Amer. Math. Soc. 147 (2019), 1751-1762 Request permission

Abstract:

The $p$-local homotopy types of gauge groups of principal $G$-bundles over $S^4$ are classified when $G$ is a compact connected exceptional Lie group without $p$-torsion in homology except for $(G,p)=(\mathrm {E}_7,5)$.
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Additional Information
  • Sho Hasui
  • Affiliation: Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan
  • MR Author ID: 1085016
  • Email: s.hasui@math.tsukuba.ac.jp
  • Daisuke Kishimoto
  • Affiliation: Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan
  • MR Author ID: 681652
  • ORCID: 0000-0002-7837-8818
  • Email: kishi@math.kyoto-u.ac.jp
  • Tseleung So
  • Affiliation: Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • MR Author ID: 1266815
  • Email: tls1g14@soton.ac.uk
  • Stephen Theriault
  • Affiliation: Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • MR Author ID: 652604
  • Email: s.d.theriault@soton.ac.uk
  • Received by editor(s): March 27, 2018
  • Received by editor(s) in revised form: June 12, 2018
  • Published electronically: January 8, 2019
  • Additional Notes: The second author’s work was supported by JSPS KAKENHI Grant Number 17K05248.
  • Communicated by: Mark Behrens
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 1751-1762
  • MSC (2010): Primary 55P15; Secondary 54C35
  • DOI: https://doi.org/10.1090/proc/14333
  • MathSciNet review: 3910439