论文标题
尺寸的多种弯曲指标的模量空间$ 4K+1 $
Moduli space of nonnegatively curved metrics on manifolds of dimension $4k+1$
论文作者
论文摘要
在每个维度$ 4K+1 \ geq 9 $中，我们展示了具有基本组$ \ Mathbb Z_2 $的无限型家族，而非负分段曲率的指标空间无限于许多路径组件。有限基本组的封闭流形的示例在尺寸$ 5 $和尺寸$ 4K+3 \ geq 7 $之前才知道。
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental group $\mathbb Z_2$ for which the moduli space of metrics of nonnegative sectional curvature has infinitely many path components. Examples of closed manifolds with finite fundamental group with this property were known before only in dimension $5$ and dimensions $4k+3\geq 7$.
