Maurer--Cartan elements in symplectic cohomology from compactifications

Abstract

We prove that under certain conditions, a normal crossings compactification of a Liouville domain determines a Maurer--Cartan element for the $L_{\infty }$ structure on its symplectic cohomology; and deforming by this element gives the quantum cohomology of the compactification.

arXiv commentv3: accepted version