Fiber sums of genus 2 Lefschetz fibrations

Abstract

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 after fiber sum with a holomorphic fibration.

arXiv comment9 pages

Cited by in corpus (18)

• A stable classification of Lefschetz fibrations
• Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
• Monodromy invariants in symplectic topology
• The 3-cuspidal quartic and braid monodromy of degree 4 coverings
• Partial twists and exotic Stein fillings
• Diffeomorphism of simply connected algebraic surfaces
• Chart description for hyperelliptic Lefschetz fibrations and their stabilization
• Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization
• Algebraic Surfaces and their Moduli Spaces: Real, Differentiable and Symplectic Structures
• Charts, signatures, and stabilizations of Lefschetz fibrations
• Families of Simply Connected 4-Manifolds with the Same Seiberg-Witten Invariants
• Moduli spaces of surfaces and monodromy invariants
• Symplectic 4-manifolds, singular plane curves, and isotopy problems
• Proportion of cyclic matrices in maximal reducible matrix algebras
• Unique fiber sum decomposability of genus 2 Lefschetz fibrations
• Classification of genus-$1$ holomorphic Lefschetz pencils
• Canonical symplectic structures and deformations of algebraic surfaces
• Trecce, Mapping class group, fibrazioni di Lefschetz ed applicazioni al diffeomorfismo di superficie algebriche