论文标题
紧凑的非正式关闭$ G_2 $歧管，$ b_1 = 1 $
A compact non-formal closed $G_2$ manifold with $b_1=1$
论文作者
论文摘要
我们构建了一个紧凑的歧管，其封闭的$ G_2 $结构不承认任何无扭转的$ G_2 $结构，该结构是非正式的，并具有第一个betti Number $ b_1 = 1 $。我们为Orbifolds开发了一种分辨率的方法，该方法作为商$ m/z_2 $，$ m $ a封闭的$ g_2 $ coprold在假设奇异基因座带有无处可造成的封闭1型的假设。
We construct a compact manifold with a closed $G_2$ structure not admitting any torsion-free $G_2$ structure, which is non-formal and has first Betti number $b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient $M/Z_2$ with $M$ a closed $G_2$ manifold under the assumption that the singular locus carries a nowhere-vanishing closed 1-form.
