English

Spin structures on complex projective spaces and circle actions

Algebraic Topology 2023-10-03 v1

Abstract

It is known that the complex projective space CPn\mathbb{CP}^n admits a spin structure if and only if nn is odd. In this paper, we provide another proof that CP2m\mathbb{CP}^{2m} does not admit a spin structure, by using a circle action.

Cite

@article{arxiv.2209.05985,
  title  = {Spin structures on complex projective spaces and circle actions},
  author = {Donghoon Jang},
  journal= {arXiv preprint arXiv:2209.05985},
  year   = {2023}
}
R2 v1 2026-06-28T01:12:46.200Z