6 citations · 9 across the 6 of their papers we have counts for
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Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
D. Auroux, S. K. Donaldson, L. Katzarkov
We discuss the properties of a certain type of Dehn surgery along a Lagrangian torus in a symplectic 4-manifold, known as Luttinger's surgery, and use this construction to provide…
A remark about Donaldson's construction of symplectic submanifolds
Denis Auroux
We describe a simplification of Donaldson's arguments for the construction of symplectic hypersurfaces or Lefschetz pencils that makes it possible to avoid any reference to Yomdin'…
Fiber sums of genus 2 Lefschetz fibrations
Denis Auroux
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…
Fundamental groups of complements of plane curves and symplectic invariants
D. Auroux, S. K. Donaldson, L. Katzarkov +1
Introducing the notion of stabilized fundamental group for the complement of a branch curve in , we define effectively computable invariants of symplectic 4-manifolds that ge…