曲面N_3^-上三类根地图的计数

Enumeration of Three Kinds of Rooted Maps on N_3^-

研究了曲面N3-上-本质根地图,给出以边为参数的精确计数表达式;还给出了曲面N3-上单面地图和单顶点地图的计数公式.

In this paper, ^~3-essential rooted maps on N3^~ are investigated and an explicit expression with the size as a parameter is given. Further, the numbers of singular maps and monopole maps on N3^~ are derived.