Symplectic structures with non-isomorphic primitive cohomology on open 4-manifolds

We analyze four-dimensional symplectic manifolds of type X = S 1 × M 3 X=S^1 \times M^3 where encoding="application/x-tex">M^3 is an open alttext="3"> encoding="application/x-tex">3 -manifold admitting inequivalent fibrations leading to structures on X"> encoding="application/x-tex">X . For the case cubed subset-of ⊂<!-- ⊂ encoding="application/x-tex">M^3 \subset S^3 complement a alttext="4"> 4 encoding="application/x-tex">4 -component link constructed by McMullen-Taubes, we provide general algorithm for computing monodromy explicitly. use this show that certain are distinguished dimensions primitive cohomologies differential forms also calculate class -manifolds complements family fibered graph links in encoding="application/x-tex">S^3 In case, there exist pairs , arising from either equivalent or complement, have different cohomologies.