| 亏格为2的Heegaard分解中的Haken球面 |
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| 引用本文： | 雷逢春,李阳.亏格为2的Heegaard分解中的Haken球面[J].黑龙江大学自然科学学报,2006,23(5):603-608. |
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| 作者姓名： | 雷逢春 李阳 |
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| 作者单位： | 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 主要结果描述了透镜空间和圆周与2-球面乘积的亏格为2的Heegaard分解中的两个Haken球面是如何相关的,进而完全解决了亏格为2的Heegaard分解中的Haken球面的相关性问题.
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| 关 键 词： | 3-流形 Heegaard分解 Haken球面 |
| 文章编号： | 1001-7011(2006)05-0603-06 |
| 修稿时间： | 2006年3月21日 |
Haken spheres in Heegaard splittings of genus 2 |
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| LEI Feng-chun,LI Yang.Haken spheres in Heegaard splittings of genus 2[J].Journal of Natural Science of Heilongjiang University,2006,23(5):603-608. |
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| Authors: | LEI Feng-chun LI Yang |
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| Abstract: | A Haken sphere S in a 3 - manifold M with a Heegaard splitting V∪FW is a separating 2-sphere in M which intersects the Heegaard surface F only in an essential circle in F. It is known that how any two Haken spheres in a genus 2 Heegaard splitting of S3, a connected sum of two lens spaces, a connected sum of a lens space and S2 × S1 , or S2 × S1#S2 × S1 are related. In the present paper, we show how any two Haken spheres in a genus 2 Heegaard splitting of a lens space or S2 × S1 are related. Thus in all cases of reducible Heegaard splittings of genus 2, the Haken spheres are well understood. |
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| Keywords: | 3-manifold Heegaard splitting Haken sphere |
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