Big Heegaard Distance Implies Finite Mapping Class Group
نویسنده
چکیده
We show that if M is a closed three manifold with a Heegaard splitting with sufficiently big Heegaard distance then the subgroup of the mapping class group of the Heegaard surface, whose elements extend to both handlebodies is finite. As a corollary, this implies that under the same hypothesis, the mapping class group of M is finite.
منابع مشابه
Big Handlebody Distance Implies Finite Mapping Class Group
We show that if M is a closed three manifold with a Heegaard splitting with sufficiently big handlebody distance then the subgroup of the mapping class group of the Heegaard surface, which extend to both handlebodies is finite. As a corollary, this implies that under the same hypothesis, the mapping class group of M is finite.
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تاریخ انتشار 2007