Mapping class groups of Heegaard splittings

Details Mapping class groups of Heegaard splittings Mapping class groups of Heegaard splittings

2007-01-04

arxiv.org/abs/math/0701119v4

Mathematics

Geometric Topology

21 pages, 4 figures. The proof of Theorem 1 has been shortened and Theorem 2 has been significantly strengthened

Scientific paper

The mapping class group of a Heegaard splitting is the group of automorphisms
of the ambient 3-manifold that take the surface onto itself, modulo isotopies
that keep the surface on itself. We characterize the mapping classes that
restrict to periodic and reducible automorphisms of the surface.

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