Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2023; 60(5): 1295-1298

Online first article August 23, 2023      Printed September 30, 2023

https://doi.org/10.4134/BKMS.b220657

Copyright © The Korean Mathematical Society.

Spin structures on complex projective spaces and circle actions

Donghoon Jang

Pusan National University

Abstract

Go to

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.

Keywords: Spin structure, circle action, $\Hat{A}$-genus, fixed point

MSC numbers: 58C30, 58J20

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

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +