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

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

Research output: Contribution to journalArticle

40 Citations (Scopus)

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 2003
Externally publishedYes

Fingerprint

Plane Curve
Surgery
Torus
Dehn Surgery
4-manifold
Cusp
Singularity
Vertex of a graph
Interpretation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. / Auroux, D.; Donaldson, S. K.; Katzarkov, Ludmil.

In: Mathematische Annalen, Vol. 326, No. 1, 05.2003, p. 185-203.

Research output: Contribution to journalArticle

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