摘要 : We show that any symplectically aspherical/Calabi-Yau filling of Y := partial derivative(V x D) has vanishing symplectic cohomology for any Liouville domain V. In particular, we make no topological requirement on the filling and c... 展开 We show that any symplectically aspherical/Calabi-Yau filling of Y := partial derivative(V x D) has vanishing symplectic cohomology for any Liouville domain V. In particular, we make no topological requirement on the filling and c(1)(V) can be nonzero. Moreover, we show that for any symplectically aspherical/Calabi-Yau filling W of Y, the interior (W) over circle is diffeomorphic to the interior of V x D if pi(1)(Y) is abelian and dim V >= 4. And W is diffeomorphic to V x D if moreover the Whitehead group of pi(1)(Y) is trivial. 收起