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

D. Auroux, S. K. Donaldson, L. Katzarkov

Research output: Contribution to journalArticle

41 Scopus citations

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].

Original languageEnglish (US)
Pages (from-to)185-203
Number of pages19
JournalMathematische Annalen
Volume326
Issue number1
DOIs
StatePublished - May 1 2003
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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