论文标题
圆圈动作和悬架操作在光滑的歧管上
Circle actions and Suspension operations on Smooth manifolds
论文作者
论文摘要
令$ m $为$ \ dim m \ geq 3 $和基本点$ x_ {0} $的平滑歧管。沿面向圆圈的手术$ s^{1} \ times \ {x_ {0} \} $上的产品$ s^{1} \ times m $产生两个歧管$σ_{0} m $和$σ_{1} m $，称为$ m $ $ m $ $ m $。 悬架操作$σ_{i} $在平滑歧管的构建和分类中起着基本作用，该歧管的构建和分类允许免费$ s^{1} $ - actions。我们通过许多应用程序来说明这一点。
Let $M$ be a smooth manifold with $\dim M\geq 3$ and a base point $x_{0}$. Surgeries along the oriented circle $S^{1}\times \{x_{0}\}$ on the product $ S^{1}\times M$ yields two manifolds $Σ_{0}M$ and $Σ_{1}M$, called the suspensions of $M$. The suspension operations $Σ_{i}$ play a basic role in the construction and classification of the smooth manifolds which admit free $ S^{1}$-actions. We illustrate this by a number of applications.
