Computations of Floer Homology for certain Lagrangian Tori in closed 4-manifolds

Details Computations of Floer Homology for certain Lagrangian Tori in closed 4-manifolds Computations of Floer Homology for certain Lagrangian Tori in closed 4-manifolds

2006-11-07

arxiv.org/abs/math/0611204v2

Mathematics

Symplectic Geometry

changes based on reviewer's comments

Scientific paper

We compute the Lagrangian Floer cohomology groups of certain tori in closed simply connected symplectic 4-manifolds arising from Fintushel-Stern knot surgery. These manifolds are usually not symplectically aspherical. As a result of the computation we observe examples where $HF(L_0)\cong HF(L_1)$ and $L_0$ and $L_1$ are smoothly isotopic but $L_0,L_1$ are not symplectically isotopic and are distinguished by $HF(L_0,L_1)$.

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