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Mathematics  2011 

Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization

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Abstract:

Chart descriptions are a graphic method to describe monodromy representations of various topological objects. Here we introduce a chart description for genus-two Lefschetz fibrations, and show that any genus-two Lefschetz fibration can be stabilized by fiber-sum with certain basic Lefschetz fibrations.

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