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math.GT2002
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…
math.GT2002
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…
math.GT2001
Hyperelliptic Szpiro inequality
F. Bogomolov, L. Katzarkov, T. Pantev
We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperellip…