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

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

2002-06-02

arxiv.org/abs/math/0206005v1

Mathematics

Geometric Topology

15 pages

Scientific paper

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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