| The pants sum of high distance Heegaard splittings简 |
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| 作者姓名： | Shuxin WANG Nan NI |
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| 基金项目： | Supported by the National Natural Science Foundation of China （Grant No. 11226084）.Acknowledgements We thank the referees for their time and comments. |
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| 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）.
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| 关 键 词： | 劈裂 距离 裤子 网络连接 三维流形 不可压缩 用户界面 安装面 |
The Pants Sum of High Distance Heegaard Splittings |
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| Shuxin WANG,Nan NI.The Pants Sum of High Distance Heegaard Splittings[J].Journal of Mathematical Research with Applications,2014(2):216-222. |
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| Authors: | Shuxin WANG Nan NI |
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| Affiliation: | School of Mathematics, Liaoning Normal University, Liaoning 116029, P. R. China |
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| Abstract: | pants sum Heegaard distance Heegaaxd genus. |
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| Keywords: | pants sum Heegaard distance Heegaaxd genus |
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