曲阜师范大学学报（自然科学版）Issue(1)：28-30,3.DOI:10.3969/j.issn.1001-5337.2016.1.028
乘积流形一类四穿孔球面和的亏格
Heegaard Genus of a Class Four Punctured Sphere Sum of Product 3-manifolds
摘要
Abstract
Suppose M =(P 1 ×I )∪F (P 2 ×I ),where P i (i =1,2)is an oriented closed surface,I is the unit interval,F is an incompressible four punctured sphere inM ,by the separating form of F in P 1 and P 2 , we prove that g (M )=g (P 1 )+ g (P 2 ),which gives the additivity of Heegaard genera of four punctured sphere sum of product 3-manifolds.关键词
乘积流形/四穿孔球面和/不可压缩曲面/亏格Key words
product 3-manifold/four punctured sphere sum/incompressible surface/genus分类
数理科学引用本文复制引用
王树新,王霄,丁兆辉,张于波..乘积流形一类四穿孔球面和的亏格[J].曲阜师范大学学报（自然科学版）,2016,(1):28-30,3.基金项目
国家自然科学基金面上项目（11471151）；辽宁省博士科研启动基金（20141101）． （）
