有限群作用在三维流形上的不动点数据

作用在$p$ -局部紧群和不动点上的不稳定Adams运算

Unstable Adams operations acting on $p$-local compact groups and fixed points

本文证明了有限$p$ -群上的每个$p$ -局部紧群都可由运输系统来逼近.为此，我们使用不稳定的亚当斯操作作用于一个给定的$p$ -局部紧群，并研究所产生的不动点的结构。

On the number of stabilizer subgroups in a finite group acting on a manifold

If a finite p-group G acts continuously on a compact topological manifold M then, with some bound C depending on M alone, G has a subgroup H of index at most C such that the H-action on M has at most C stabilizer subgroups. This result plays a crucial role in the proof of a deep conjecture of Ghys.

$p$ -toral群作用于分拆复形的不动点

Fixed points of $p$-toral groups acting on partition complexes

本文研究了$U(n)$的$p$ -带子群在酉分拆复形$\mathcal L_n$上的作用.证明了若$H\subseteq U(n)$是$p$ -群且在$\mathcal L_n$上有不可收缩的不动点，则$H$在射影酉群$U(n)/S^{1}$中的象是初等交换$p$ -群.

Manifolds with the fixed point property and their squares

The Cartesian squares (powers) of manifolds with the fixed point property (f.p.p.) are considered. Examples of manifolds with the f.p.p. are constructed whose symmetric squares fail to have the f.p.p..

Fixed points of coisotropic subgroups of $Γ_{k}$ on decomposition spaces

We study the equivariant homotopy type of the poset of orthogonal decompositions of a finite-dimensional complex vector space. Suppose that n is a power of a prime p, and that D is an elementary abelian p-subgroup of U(n) acting on complex n-space by the regular representation. We prove that the fixed point space of D acting on the decomposition poset of complex n-space contains as a retract the unreduced suspension of the Tits building for GL(k), which a wedge of (k-1)-dimensional spheres. Let Gamma be the projective elementary abelian subgroup of U(n) that contains the center of U(n) and act…

圆群在具有孤立不动点的有向流形上的作用权重

Weights of circle actions on oriented manifolds with isolated fixed points

本文针对圆群在具有孤立不动点的紧致有向流形上的作用，证明了不动点处权重成对出现的断言，且无需假设迷向子流形可定向，推广了已知结果。