An L_ structure on symplectic cohomology

We construct the L_ structure on symplectic cohomology of a Liouville domain, together with an enhancement of the closed--open map to an L_ homomorphism from symplectic cochains to Hochschild cochains on the wrapped Fukaya category. Features of our construction are that it respects a modified action filtration (in contrast to Pomerleano--Seidel's construction) ; it uses a compact telescope model (in contrast to Abouzaid--Groman--Varolgunes' construction) ; and it is adapted to the purposes of our follow-up work where we construct Maurer--Cartan elements in symplectic cochains which are associated to a normal-crossings compactification of the Liouville domain.