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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
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...