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• W2067275621 abstract "The mapping class group of a Heegaard splitting is the group of connected components in the set of automorphisms of the ambient manifold that map the Heegaard surface onto itself. We find examples of elements of the mapping class group that are periodic, reducible and pseudo-Anosov on the Heegaard surface, but are isotopy trivial in the ambient manifold. We prove structural theorems about the first two classes, in particular showing that if a periodic element is trivial in the mapping class group of the ambient manifold, then the manifold is not hyperbolic." @default.
• W2067275621 created "2016-06-24" @default.
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• W2067275621 date "2013-04-01" @default.
• W2067275621 modified "2023-09-25" @default.
• W2067275621 title "MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS" @default.
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• W2067275621 doi "https://doi.org/10.1142/s0218216513500181" @default.
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