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| The ?-Stabilization of a Heegaard Splitting with Distanceat Least 6 is Unstabilized |
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Citation： |
Yanqing ZOU,Qilong GUO,Ruifeng QIU.The ?-Stabilization of a Heegaard Splitting with Distanceat Least 6 is Unstabilized[J].Chinese Annals of Mathematics B,2014,35(4):557~562 |
| Page view： 1335
Net amount： 1135 |
Authors： |
Yanqing ZOU; Qilong GUO; Ruifeng QIU; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11271058,
11171108). |
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| Abstract： |
Let M be a compact orientable 3-manifold with ?M connected. If V ∪S W
is a Heegaard splitting of M with distance at least 6, then the ?-stabilization of V ∪S W
along ?M 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. |
Keywords： |
Heegaard splitting, Distance, Stabilization |
Classification： |
57M27 |
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