The Pants Sum of High Distance Heegaard Splittings  

作　　者：Shuxin WANG Nan NI 

机构地区：[1]School of Mathematics,Liaoning Normal University

出　　处：《Journal of Mathematical Research with Applications》2014年第2期216-222,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11226084)

摘　　要：Let Mi be a compact orientable 3-manifold, and Fi be an incompressible surface on δMi, i -= 1,2. Let f ： F1 →F2 be a homeomorphism, and M = M1 UI M2. In this paper, under certain assumptions for the attaching surface Fi, we show that if both M1 and M2 have Heegaavd splittings with distance at least 2（g（M1）＋ g（M2））＋ 1, then g（M） = g（M1）＋g（M2）.Let Mi be a compact orientable 3-manifold, and Fi be an incompressible surface on δMi, i -= 1,2. Let f ： F1 →F2 be a homeomorphism, and M = M1 UI M2. In this paper, under certain assumptions for the attaching surface Fi, we show that if both M1 and M2 have Heegaavd splittings with distance at least 2（g（M1）＋ g（M2））＋ 1, then g（M） = g（M1）＋g（M2）.

关 键 词：pants sum Heegaard distance Heegaaxd genus. 

分 类 号：O186.12[理学—数学]