准圆图与准共形映射群
Graphs of Quasicircles and Quasiconformal Homeomorphisms
AI总结：
本文通过研究准圆图的自同构，特征化了高亏格曲面上准共形映射群的结构，并探讨了其粗几何特性。
摘要：
我们给出了闭合、定向曲面S（亏格至少为2）的准共形映射群的组合特征化。特别是，我们证明这些映射恰好是保持由质量常数诱导的自然粗序的本质准圆图的自同构。我们还讨论了该图的粗几何结构。
英文摘要：
We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface $S$ of genus at least $2$. In particular, we prove they are exactly the automorphisms of a graph of essential quasicircles on $S$ that respect a canonical coarse ordering induced by quality constants. We also discuss the coarse geometry of this graph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
