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arxiv: 1201.2628 · v3 · pith:FFYX3REZnew · submitted 2012-01-12 · 🧮 math.GT

Mapping class groups of Heegaard splittings of surface bundles

classification 🧮 math.GT
keywords heegaardsurfacebundleclassgenusgroupsmappingsplittings
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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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