Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

SPIN STRUCTURES ON COMPLEX PROJECTIVE SPACES AND CIRCLE ACTIONS

  • Donghoon Jang (Department of Mathematics Pusan National University)
  • Received : 2022.09.22
  • Accepted : 2023.02.10
  • Published : 2023.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

It is known that the complex projective space ℂℙn admits a spin structure if and only if n is odd. In this paper, we provide another proof that ℂℙ2m does not admit a spin structure, by using a circle action.

Keywords

Acknowledgement

This work was supported by a 2-Year Research Grant of Pusan National University.

References

  1. M. F. Atiyah and F. E. P. Hirzebruch, Spin-manifolds and group actions, in Essays on Topology and Related Topics (Memoires dedies a Georges de Rham), 18-28, Springer, New York, 1970.
  2. A. Haefliger, Sur l'extension du groupe structural d'une espace fibre, C. R. Acad. Sci. Paris 243 (1956), 558-560.