论文标题
映射类组的单细胞图和过滤
Unicellular maps and filtrations of the mapping class group
论文作者
论文摘要
本文首先回答了有关单细胞图上新图形的联系的问题。回答这些问题的描述是对单细胞图上的手术的描述。我们还展示了如何编码映射组的单细胞映射子组并提供映射类组的过滤。这些事实在单细胞图的无处不在特征上增加了一层。
This article first answers to questions about connectedness of a new family of graphs on unicellular maps. Answering these questions goes through a description of the mapping class group as surgeries on unicellular maps. We also show how unicellular maps encode subgroups of the mapping group and provide filtrations of the mapping class group. These facts add a layer on the ubiquitous character of unicellular maps.
