Descent with algebraic structures for symplectic cohomology

Abstract

We formulate and prove a chain level descent property of symplectic cohomology for involutive covers by compact subsets that take into account the natural algebraic structures that are present. The notion of an involutive cover is reviewed. We indicate the role that the statement plays in mirror symmetry.

Edits mostly based on referee comments. To appear in Gökova G/T Conference Proceedings