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Big Handlebody Distance Implies Finite Mapping Class Group

几何拓扑 2007-05-23 v3

摘要

We show that if MM 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 MM is finite.

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引用

@article{arxiv.math/0406551,
  title  = {Big Handlebody Distance Implies Finite Mapping Class Group},
  author = {Hossein Namazi},
  journal= {arXiv preprint arXiv:math/0406551},
  year   = {2007}
}

备注

9 pages