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Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves

D. Auroux·S. K. Donaldson·L. Katzarkov
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Abstract

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 purely topological interpretation of a non-isotopy result for symplectic plane curves with cusp and node singularities due to Moishezon.

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D. Auroux, S. K. Donaldson, L. Katzarkov. 2002-06-02. Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. https://arxiv.org/abs/math/0206005

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