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

作　　者：王树新[1] 徐诚蕙 陶金[1] 

机构地区：[1]辽宁师范大学,辽宁 大连

出　　处：《应用数学进展》2022年第12期8869-8873,共5页Advances in Applied Mathematics

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。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.

关 键 词：复杂三维流形 亏格 穿孔环面 曲面和 

分 类 号：O18[理学—数学]