研究了曲面N3^~上^~3-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.