Mapping class groups of Heegaard splittings of surface bundles

Details Mapping class groups of Heegaard splittings of surface bundles Mapping class groups of Heegaard splittings of surface bundles

2012-01-12

arxiv.org/abs/1201.2628v3

Mathematics

Geometric Topology

6 pages, 1 figure. Minor corrections made in versions 2 and 3

Scientific paper

Every surface bundle with genus $g$ fiber has a canonical Heegaard splitting
of genus $2g+1$. We classify the mapping class groups of such Heegaard
splittings in the case when the surface bundle has a sufficiently complicated
monodromy map.

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