SPIN STRUCTURES ON COMPLEX PROJECTIVE SPACES AND CIRCLE ACTIONS

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.

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2023, Vol.60 (5), p.1295-1298
Main Author: Donghoon Jang
Format: Article
Language:Korean
Online Access:Get full text
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Summary: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.
ISSN:1015-8634