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

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

2011-06-03

arxiv.org/abs/1106.0569v1

Mathematics

Geometric Topology

17 pages, 18 figures

Scientific paper

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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