On the Union Stabilization of Two Heegaard Splittings
نویسنده
چکیده
Let two Heegaard splittings V1 ∪ W1 and V2 ∪ W2 of a 3manifold M be given. We consider the union stabilization M = V ∪ W which is a common stabilization of V1 ∪ W1 and V2 ∪ W2 having the property that V = V1 ∪ V2. 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.
منابع مشابه
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تاریخ انتشار 2008