Consider monotone symplectic manifolds containing a smooth anticanonical divisor.
Contingent on conjectures which relate quantum cohomology to the symplectic cohomology …

A complete embedding is a symplectic embedding are bounded, we deduce the same result
for relative symplectic cohomology. We introduce a technique for constructing complete …

The symplectic cohomology of certain symplectic manifolds W with non-compact ends
modelled on the positive symplectization of a compact contact manifold Y is shown to vanish …

For a compact subset KK of a closed symplectic manifold (M, ω) (M,ω), we prove that KK is
heavy if and only if its relative symplectic cohomology over the Novikov field is nonzero. As …

For a monotone symplectic manifold and a smooth anticanonical divisor, there is a formal
deformation of the symplectic cohomology of the divisor complement, defined by allowing …

Seidel introduced the notion of a Fukaya category “relative to an ample divisor”, explained
that it is a deformation of the Fukaya category of the affine variety that is the complement of …

We adapt Gromov's notion of ideal-valued measures to symplectic topology, and use it for
proving new results on symplectic rigidity and symplectic intersections. Furthermore, it …

For a compact monotone symplectic manifold $ X $ with Hamiltonian action of a compact Lie
group $ G $ and smooth symplectic reduction, we relate its gauged $2 $-dimensional $ A …

The main theme of this paper is the introduction of a new type of polarizations, suited for
some open symplectic manifolds, and their applications. These applications include …

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 …