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
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.