On the union stabilization of two Heegaard splittings
| dc.creator | Lee, Jung Hoon | |
| dc.date | 2008-08-05 | |
| dc.date.accessioned | 2026-07-07T09:54:42Z | |
| dc.date.available | 2026-07-07T09:54:42Z | |
| dc.description | Let two Heegaard splittings $V_1 \cup W_1$ and $V_2 \cup W_2$ of a 3-manifold $M$ be given. We consider the union stabilization $M=V \cup W$ which is a common stabilization of $V_1 \cup W_1$ and $V_2 \cup W_2$ having the property that $V=V_1 \cup V_2$. We show that any two Heegaard splittings of a 3-manifold have a union stabilization. We also give some examples with numerical bounds on the minimal genus of union stabilization. On the other hand, we give an example of a candidate for which the minimal genus of union stabilization is strictly larger than the usual stable genus -- the minimal genus of common stabilization. | |
| dc.description | 6 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0808.0547 | |
| dc.identifier | http://arxiv.org/abs/0808.0547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166414 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | On the union stabilization of two Heegaard splittings | |
| dc.type | text |