| Dehn填充对一类带双环面边界分支流形的Heegaard曲面的影响 |
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| 引用本文： | 陈曦.Dehn填充对一类带双环面边界分支流形的Heegaard曲面的影响[J].哈尔滨师范大学自然科学学报,2009,25(4):39-41,51. |
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| 作者姓名： | 陈曦 |
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| 作者单位： | 东北林业大学 |
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| 摘 要： | 通过引进almost Heegaard曲面，给出判定一个封闭后的almost Heegaard曲面是加2一柄前流形的Heegaard曲面的充分必要条件．并对一类不是almost Heegaard的本质曲面进行研究，给出这类曲面满足的性质．
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| 关 键 词： | Heegaard分解 Heegaard曲面 Dehn填充 加2-柄 |
THE INFLUENCE TO HEEGAARD SURFACE OF MANIFOLDS WITH DOUBLE TORUS BOUNDARY COMPONENT AFTER DEHN FILLING |
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| Chen Xi.THE INFLUENCE TO HEEGAARD SURFACE OF MANIFOLDS WITH DOUBLE TORUS BOUNDARY COMPONENT AFTER DEHN FILLING[J].Natural Science Journal of Harbin Normal University,2009,25(4):39-41,51. |
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| Authors: | Chen Xi |
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| Institution: | Northeast Forestry University |
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| Abstract: | By Introducing the almost Heegaard surface,this paper gives a sufficient and necessary condition to judge whether a closed almost Heegaard surface is a Heegaard surface of the manifold before adding 2-handle.Meanwhile,conclude certain property of these essential surfaces,by analyzing one type of essential surfaces which are not almost Heegaard. |
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| Keywords: | Heegaard splitting Heegaard surface Dehn filling Add 2-handle |
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