Mayer-Vietoris sequence for symplectic cohomology

For a Liouville manifold and a pair of Liouville subdomains intersecting nicely, we prove a Mayer-Vietoris exact sequence relating the symplectic cohomology groups of the Liouville subdomains, their intersection and their union. This generalizes Cieliebak-Oancea's previous work on filled Liouville cobordisms. The proof uses an invariant called relative symplectic cohomology over integers. Joint work with U. Varolgunes.