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A note on the homotopy type of certain gauge groups

  • Akira Kono (a1)

Let Gk be the gauge group of Pk, the principal SU(2) bundle over S4 with c2(Pk) = k. In this paper we show that GkGk. if and only if (12, k) = (12, k′) where (12, k) is the GCD of 12 and k.

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1 M. F. Atiyah and R. Bott . The Yang-Mills equations over Riemann surfaces. Philos. Trans. Roy. Soc. London Ser. A 308 (1982), 523615.

3 D. H. Gottlieb . Applications of bundle map theory. Trans. Amer. Math. Soc. 171 (1972), 2350.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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