Mapping class groups of Heegaard splittings
classification
🧮 math.GT
keywords
mappingsurfaceautomorphismsclassgroupheegaarditselfambient
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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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