论文标题

曾经稳定的Heegaard分裂的映射课程组的有限演示

Finite presentations of the mapping class groups of once-stabilized Heegaard splittings

论文作者

Iguchi, Daiki

论文摘要

令$ g \ ge 2 $,并假设我们获得了$ g $ g $ heegaard属于封闭的可定位$ 3 $ manifold,距离大于$ 2g+2 $。我们证明,有限地提出了这种Heegaard拆分的曾经稳定的映射类小组。

Let $g \ge 2$ and assume that we are given a genus $g$ Heegaard splitting of a closed orientable $3$-manifold with the distance greater than $2g+2$. We prove that the mapping class group of the once-stabilization of such a Heegaard splitting is finitely presented.

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