论文标题
蜿蜒曲折的枕套和约翰逊过滤
Meanders, hyperelliptic pillowcase covers, and the Johnson filtration
论文作者
论文摘要
我们提供具有特殊组合学的曲折的最小结构。使用这些曲折，我们用单个水平圆柱体给出了极椭圆形枕套盖的最小结构，并同时使用一个垂直圆柱体，以使一个或两条核心曲线在下面的表面上分开。 In the case where both of the core curves are separating, we use these surfaces in a construction of Aougab-Taylor in order to prove that for any hyperelliptic connected component of the moduli space of quadratic differentials with no poles there exist ratio-optimising pseudo-Anosovs lying arbitrarily deep in the Johnson filtration and stabilising the Teichmüller disk of a quadratic differential lying in this连接的组件。
We provide minimal constructions of meanders with particular combinatorics. Using these meanders, we give minimal constructions of hyperelliptic pillowcase covers with a single horizontal cylinder and simultaneously a single vertical cylinder so that one or both of the core curves are separating curves on the underlying surface. In the case where both of the core curves are separating, we use these surfaces in a construction of Aougab-Taylor in order to prove that for any hyperelliptic connected component of the moduli space of quadratic differentials with no poles there exist ratio-optimising pseudo-Anosovs lying arbitrarily deep in the Johnson filtration and stabilising the Teichmüller disk of a quadratic differential lying in this connected component.
