Mapping class groups of once-stabilized Heegaard splittings

Mathematics – Geometric Topology

Scientific paper

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10 pages. Inconsistent notation was fixed in version 2, and corrections made to the proof of Lemma 3

Scientific paper

We show that if a Heegaard splitting is the result of stabilizing a high
distance Heegaard splitting exactly once then its mapping class group is
finitely generated.

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