Super-rigidity of certain skeleta using relative symplectic cohomology

This paper uses relative symplectic cohomology, recently studied by Varolgunes, to understand rigidity phenomena for compact subsets of manifolds. As an application, we consider a crossings divisor in Calabi–Yau manifold [Formula: see text] whose complement is Liouville manifold. We show that, carefully chosen structure, the skeleton as subset exhibits strong properties akin superheavy Entov–Polterovich. Along way, expand toolkit cohomology introducing products and units. also develop what call contact Fukaya trick, concerning behavior with type boundary under adding collar.