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Finite presentations of the mapping class groups of once-stabilized Heegaard splittings
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classification
math.GT
keywords
heegaardclassmappingsplittingassumecloseddistancefinite
abstract
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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