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Maurer--Cartan elements in symplectic cohomology from compactifications
Matthew Strom Borman, Mohamed El Alami, Nick Sheridan
We prove that under certain conditions, a normal crossings compactification of a Liouville domain determines a Maurer--Cartan element for the structure on its symplectic…
An structure on symplectic cohomology
Matthew Strom Borman, Mohamed El Alami, Nick Sheridan
We construct the structure on symplectic cohomology of a Liouville domain, together with an enhancement of the closed--open map to an homomorphism from symple…
An open GW-formula for Lagrangians in Fano varieties
Mohamed El Alami
Given a Fano variety and a simple normal crossings divisor which is anti-canonical, we prove a formula relating counts of discs with boundary on a Lagrangian $L\…
SYZ for index 1 Fano hypersurfaces in projective space
Mohamed El Alami
We study homological mirror symmetry of the singular hypersurface . Following an SYZ type approach, we produce an LG-model, w…