The 0-Stabilization of a Heegaard Splitting with Distance at Least 6 is Unstabilized
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 dis...
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| Veröffentlicht in: | 数学年刊：B辑英文版 2014 (4), p.557-562 |
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| ISSN: | 0252-9599 1860-6261 |