论文标题
在具有4个固定点的6维歧管上的圆圈动作
Circle actions on 6-dimensional oriented manifolds with 4 fixed points
论文作者
论文摘要
在本文中，我们对固定点数据（固定点处的权重和符号）进行了分类，该数据在6维紧凑的歧管上具有4个固定点。我们证明，它与两个6个速度上的旋转旋转结合或在$ \ mathbb {cp}^3 $上进行线性动作的旋转结合一致。前一种情况包括Petrie对$ \ Mathbb {cp}^3 $的异国情调动作。
In this paper, we classify the fixed point data (weights and signs at the fixed points), of a circle action on a 6-dimensional compact oriented manifold with 4 fixed points. We prove that it agrees with that of a disjoint union of rotations on two 6-spheres, or that of a linear action on $\mathbb{CP}^3$. The former case includes that of Petrie's exotic action on $\mathbb{CP}^3$.
