| 平环和的Heegaard亏格的一个下界 |
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| 引用本文： | 李风玲,雷逢春.平环和的Heegaard亏格的一个下界[J].数学研究及应用,2011,31(4):578-586. |
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| 作者姓名： | 李风玲 雷逢春 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 中央高校基本科研业务费专项资金,国家自然科学基金(Grant No.10931005). |
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| 摘 要： | Let Mi, i = 1,2, be a compact orientable 3-manifold, and Ai an incompressible annulus on a component Fi of OMi. Suppose A1 is separating on F1 and A2 is non-separating on F2. Let M be the annulus sum of M1 and M2 along A1 and A2. In the present paper, we give a lower bound for the genus of the annulus sum M in the condition of the Heegaard distances of the submanifolds M1 and M2
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| 关 键 词： | genus distance annulus. |
| 收稿时间： | 2009/11/27 0:00:00 |
| 修稿时间： | 2010/4/27 0:00:00 |
A Lower Bound for the Heegaard Genera of Annulus Sum |
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| Feng Ling LI and Feng Chun LEI.A Lower Bound for the Heegaard Genera of Annulus Sum[J].Journal of Mathematical Research with Applications,2011,31(4):578-586. |
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| Authors: | Feng Ling LI and Feng Chun LEI |
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| Institution: | School of Mathematical Sciences, Dalian University of Technology, Liaoning, 116024, P.R.China |
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| Abstract: | Let $M_{i}$, $i=1,2$, be a compact orientable 3-manifold, and $A_{i}$ an incompressible annulus on a component $F_i$ of $\partial M_i$. Suppose $A_{1}$ is separating on $F_{1}$ and $A_{2}$ is non-separating on $F_{2}$. Let $M$ be the annulus sum of $M_1$ and $M_2$ along $A_1$ and $A_2$. In the present paper, we give a lower bound for the genus of the annulus sum $M$ in the condition of the Heegaard distances of the submanifolds $M_1$ and $M_2$. |
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| Keywords: | genus distance annulus |
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