We resolve the long-standing problem of constructing the action of the operad of framed
(stable) genus-0 curves on Hamiltonian Floer theory; this operad is equivalent to the framed …

Abstract We construct Hamiltonian Floer complexes associated to continuous, and even
lower semicontinuous, time-dependent exhaustion functions on geometrically bounded …

This is a book aimed at graduate students and researchers in symplectic geometry, based
on a course I taught in 2019. The primary message is that the base of a Lagrangian torus …

Symington's almost toric fibrations have played a central role in symplectic geometry over
the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on …

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 …

We prove that under certain conditions, the quantum cohomology of a positively monotone
compact symplectic manifold is a deformation of the symplectic cohomology of the …

In Part I, we defined a large class of open symplectic manifolds, called symplectic $\mathbb
{C}^* $-manifolds, which are typically non-exact at infinity, and we showed that their …

We show that any two birational projective Calabi-Yau manifolds have isomorphic small
quantum cohomology algebras after a certain change of Novikov rings. The key tool used is …

This paper uses relative symplectic cohomology, recently studied by Varolgunes, to
understand rigidity phenomena for compact subsets of symplectic manifolds. As an …

We compute the relative symplectic cohomology sheaf in degree $0 $ on the bases of nodal
Lagrangian torus fibrations on four dimensional symplectic cluster manifolds. We show that it …