论文标题
关于e象正式的2道折线
On equivariantly formal 2-torus manifolds
论文作者
论文摘要
2-torus歧管是一个封闭的连接平滑的N-manifold，具有非免费有效平滑$ \ Mathbb {z}^n_2 $ -action。在本文中，我们证明，只有$ \ mathbb {z}^n_2 $ -action是本地标准的，并且其轨道空间的每个面（包括整个轨道空间）是mod 2 acyclic时，我们证明了2-torus歧管是正式的。我们的研究与M. Masuda和T. Panov的消失的奇数共同体学的研究相似。作为应用程序，我们确定何时具有常规的M-INVOLTICT（即仅具有最大可能数字的隔离固定点）。
A 2-torus manifold is a closed connected smooth n-manifold with a non-free effective smooth $\mathbb{Z}^n_2$-action. In this paper, we prove that a 2-torus manifold is equivariantly formal if and only if the $\mathbb{Z}^n_2$-action is locally standard and every face of its orbit space (including the whole orbit space) is mod 2 acyclic. Our study is parallel to the study of torus manifolds with vanishing odd-degree cohomology by M. Masuda and T. Panov. As an application, we determine when such kind of 2-torus manifolds can have regular m-involutions (i.e. involutions with only isolated fixed points of the maximum possible number).
