The -Stabilization of a Heegaard Splitting with Distance at Least 6 is Unstabilized 被引量：1

The -Stabilization of a Heegaard Splitting with Distance at Least 6 is Unstabilized

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摘要 Let M be a compact orientable 3-manifold with 0M connected. If V Us W is a Heegaard splitting of M with distance at least 6, then the 0-stabilization of V Us W along OM is unstabilized. Hence M has at least two unstabilized Heegaard splittings with different genera. The basic tool is a result on disk complex given by Masur and Schleimer.

作者 Yanqing ZOU Qilong GUO Ruifeng QIU

机构地区 School of Mathematical Sciences School of Mathematical Sciences Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第4期557-562,共6页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China(Nos.11271058,11171108)

关键词 Heegaard splitting DISTANCE STABILIZATION 不稳定距离劈裂 Heegaard分裂镇定络合物

分类号 O175 [理学—基础数学]

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参考文献10

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引证文献1

1ZOU YanQing,LIU XiMin.Bilateral self-amalgamation of a Heegaard splitting and Hempel distance[J].Science China Mathematics,2015,58(7):1499-1510.

1Kun DU,Xutao GAO.A Note on Heegaard Splittings of Amalgamated 3-Manifolds[J].Chinese Annals of Mathematics,Series B,2011,32(3):475-482. 被引量：2
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Chinese Annals of Mathematics,Series B

2014年第4期

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The -Stabilization of a Heegaard Splitting with Distance at Least 6 is Unstabilized 被引量：1

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