  In this paper we construct, in all odd complex dimensions, pairs of Liouville
domains W_0 and W_1 which are diffeomorphic to the cotangent bundle of the
sphere with one extra subcritical handle, but are not symplectomorphic. While
W_0 is symplectically very similar to the cotangent bundle itself, W_1 is more
unusual. We use Seidel's exact triangles for Floer cohomology to show that the
wrapped Fukaya category of W_1 is trivial. As a corollary we obtain that W_1
contains no compact exact Lagrangian submanifolds.
