论文标题
构图的映射班级组和阿贝利亚差异层的层
Framed mapping class groups and the monodromy of strata of Abelian differentials
论文作者
论文摘要
本文研究了亚伯差分差异的地层与通过拓扑单构成所提供的各种映射类群之间的关系。在作者的先前工作中，我们表明，层层的基本组向映射类群的子组占据，该组保留了基础riemann表面的固定框架，从而完全表征了单片组。在证据的过程中，我们还表明这些“构图映射类组”是有限生成的（即使它们是无限索引），并给出了明确的生成集。
This paper investigates the relationship between strata of abelian differentials and various mapping class groups afforded by means of the topological monodromy representation. Building off of prior work of the authors, we show that the fundamental group of a stratum surjects onto the subgroup of the mapping class group which preserves a fixed framing of the underlying Riemann surface, thereby giving a complete characterization of the monodromy group. In the course of our proof we also show that these "framed mapping class groups" are finitely generated (even though they are of infinite index) and give explicit generating sets.
