半平移曲面的仿射等价与鞍形连接图
Affine equivalence and saddle connection graphs of half-translation surfaces
摘要：
对于每一个半平移曲面，我们关联一个鞍形连接图，它是弧图的一个子图。证明了两个鞍形连接图之间的同构是由半平移曲面之间的仿射同胚诱导的。我们还研究了鞍形连接图的自同构群，以及相应的商图。
英文摘要：
To every half-translation surface, we associate a saddle connection graph, which is a subgraph of the arc graph. We prove that every isomorphism between two saddle connection graphs is induced by an affine homeomorphism between the underlying half-translation surfaces. We also investigate the automorphism group of the saddle connection graph, and the corresponding quotient 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。
