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On genus-1 simplified broken Lefschetz fibrations
genus-1 simplified Lefschetz fibrations
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2011/2/22
Auroux, Donaldson and Katzarkov introduced broken Lefschetz fibrations as a generalization of Lefshcetz fibrations in order to describe near-symplectic 4-manifolds.We first study monodromy representat...
Sections of Lefschetz fibrations and Stein fillings
Lefschetz fibrations Stein fillings
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2010/3/1
Using Eliashberg's theorem about Stein fillings of S3 we prove that a section of a Lefschetz fibration over S2 has nonnegative square. This observation, in particular, implies that the identity elemen...
Fiber sums of genus 2 Lefschetz fibrations
Lefschetz fibrations non-trivia l topologica l phenomena
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2010/3/1
Using the recent results of Siebert and Tian about the holomorphicity of genus 2 Lefschetz fibrations with irreducible singular fibers, we show that any genus 2 Lefschetz fibration becomes holomorphic...