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

Adam Knapp
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Abstract

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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BibTeXRIS

Adam Knapp. 2006-11-07. Computations of Floer Homology for certain Lagrangian Tori in closed 4-manifolds. https://doi.org/10.1112/jtopol/jtq009

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