论文标题
复杂的投影空间和圆形动作上的旋转结构
Spin structures on complex projective spaces and circle actions
论文作者
论文摘要
众所周知，复杂的投影空间$ \ mathbb {cp}^n $在且仅当$ n $奇怪时就允许旋转结构。在本文中，我们提供了另一个证据，证明$ \ mathbb {cp}^{2m} $不使用圆圈操作来接受旋转结构。
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.
