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arXiv · 2209.05985

Spin structures on complex projective spaces and circle actions

Donghoon Jang
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Abstract

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

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Donghoon Jang. 2022-07-03. Spin structures on complex projective spaces and circle actions. https://doi.org/10.4134/bkms.b220657

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