4 papers · 1 filter
Symplectic cohomology with support and aspherical perturbations
Yuhan Sun
For a compact subset of an aspherical symplectic manifold, we show that the symplectic cohomology with support on it remains invariant under suitable perturbations of the symplecti…
Index bounded relative symplectic cohomology
Yuhan Sun
We study the relative symplectic cohomology with the help of an index bounded contact form. For a Liouville domain with an index bounded boundary, we construct a spectral sequence…
Heavy sets and index bounded relative symplectic cohomology
Yuhan Sun
We use relative symplectic cohomology to detect heavy sets, with the help of index bounded contact forms. This establishes a relation between two notions SH-heaviness and heaviness…
Displacement energy of Lagrangian 3-spheres
Yuhan Sun
We estimate the displacement energy of Lagrangian 3-spheres in a symplectic 6-manifold , by estimating the displacement energy of a one-parameter family of Lagrangian tor…