  We study the relative symplectic cohomology with the help of an index bounded
contact form. For a Liouville domain with an index bounded boundary, we
construct a spectral sequence which starts from its classical symplectic
cohomology and converges to the relative symplectic cohomology of it inside a
Calabi-Yau manifold. In the appendix we compare the relative symplectic
cohomology of a Liouville domain inside its completion with its classical
symplectic cohomology. As an application, we obtain a version of the Viterbo
isomorphism.
