%0 Journal Article
%T 复杂三维流形两类穿孔环面和的亏格<br>Genus of Two Classes of Punctured Torus Sum of Complicated 3-Manifolds
%A 王树新
%A 徐诚蕙
%A 陶金
%J Advances in Applied Mathematics
%P 8869-8873
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.1112934
%X 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<span>n(n≥3)</span>穿孔环面和的亏格。<br />
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 <span>n(n≥3)</span> torus sum of some thickened orientable closed surfaces, and then it gets the genus of two classes of n-punctured <span>n(n≥3)</span> torus sum of some complicated 3-main- folds.
%K 复杂三维流形，亏格，穿孔环面，曲面和<br>Complicated 3-Manifolds
%K Genus
%K Punctured Torus
%K Surfaces Sum
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=59527