复杂三维流形两类穿孔环面和的亏格

Genus of Two Classes of Punctured Torus Sum of Complicated 3-Manifolds

摘要: 本文从某些三维流形穿孔环面和是否具有亏格可加性出发，通过三维流形组合拓扑的研究方法和技巧，给出了某些可定向闭曲面加厚两类n(n≥3)穿孔环面和的亏格，进一步得到某些复杂三维流形两类n(n≥3)穿孔环面和的亏格。

Abstract: In this paper, starting from whether the punctured torus sum of some 3-manifolds is additive, through the methods and techniques of hybrid topology of 3-manifolds, it gives the genus of two classes of n-punctured n(n≥3) torus sum of some thickened orientable closed surfaces, and then it gets the genus of two classes of n-punctured n(n≥3) torus sum of some complicated 3-main- folds.