Geometry & Topology
- Geom. Topol.
- Volume 8, Number 2 (2004), 947-968.
Invariants for Lagrangian tori
We define an simple invariant of an embedded nullhomologous Lagrangian torus and use this invariant to show that many symplectic 4–manifolds have infinitely many pairwise symplectically inequivalent nullhomologous Lagrangian tori. We further show that for a large class of examples that is actually a invariant. In addition, this invariant is used to show that many symplectic 4–manifolds have nontrivial homology classes which are represented by infinitely many pairwise inequivalent Lagrangian tori, a result first proved by S Vidussi for the homotopy K3–surface obtained from knot surgery using the trefoil knot.
Geom. Topol., Volume 8, Number 2 (2004), 947-968.
Received: 4 September 2003
Revised: 19 April 2004
Accepted: 3 June 2004
First available in Project Euclid: 21 December 2017
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Fintushel, Ronald; Stern, Ronald J. Invariants for Lagrangian tori. Geom. Topol. 8 (2004), no. 2, 947--968. doi:10.2140/gt.2004.8.947. https://projecteuclid.org/euclid.gt/1513883421