论文标题
$ \ mathbb {s}^n $，$ \ mathbb {s}^m \ times \ times \ mathbb {s}^n $，$ \ mathbb {c} p^n} $和$ \ mathbb {
Periods of Morse--Smale diffeomorphisms on $\mathbb{S}^n$, $\mathbb{S}^m \times \mathbb{S}^n$, $\mathbb{C}P^n}$ and $\mathbb{H}P^n}$
论文作者
论文摘要
我们研究了$ n $二维球$ \ mathbb {s}^n $的莫尔斯 - 梅尔 - 梅尔差异差异时期集$ \ mathbb {c} \ text {\ textbf {p}}}^n} $以及$ n $ -dimensional quaternion juptrnion juptivive juptive $ \ mathbb {h} \ text {\ textbf {pextbf {p}}}}^n} $。我们为这种莫尔斯（Morse-Morse-Morse-Morse）差异性的Lefschetz时期的最小套件进行了分类。使用同源性的诱导地图完成此特征。使用的主要工具是Lefschetz Zeta功能。
We study the set of periods of the Morse--Smale diffeomorphisms on the $n$-dimensional sphere $\mathbb{S}^n$, on products of two spheres of arbitrary dimension $\mathbb{S}^m \times \mathbb{S}^n$ with $m \neq n$, on the $n$-dimensional complex projective space $\mathbb{C}\text{\textbf{P}}^n}$ and on the $n$-dimensional quaternion projective space $\mathbb{H}\text{\textbf{P}}^n}$. We classify the minimal sets of Lefschetz periods for such Morse--Smale diffeomorphisms. This characterization is done using the induced maps on the homology. The main tool used is the Lefschetz zeta function.
