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.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/12424