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 [9].
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 1 July 2002 / Revised version: 12 August 2002 Published online: 28 March 2003
Rights and permissions
About this article
Cite this article
Auroux, D., Donaldson, S. & Katzarkov, L. Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Math. Ann. 326, 185–203 (2003). https://doi.org/10.1007/s00208-003-0418-9
Issue Date:
DOI: https://doi.org/10.1007/s00208-003-0418-9