4 citations · 10 across the 7 of their papers we have counts for
7 papers
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…
A characterization of heaviness in terms of relative symplectic cohomology
Cheuk Yu Mak, Yuhan Sun, Umut Varolgunes
For a compact subset of a closed symplectic manifold , we prove that is heavy if and only if its relative symplectic cohomology over the Novikov field is non-zero.…
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…
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…
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 tori…
Products and connected sums of spheres as monotone Lagrangian submanifolds
Vardan Oganesyan, Yuhan Sun
We obtain new restrictions on Maslov classes of monotone Lagrangian submanifolds of . We also construct families of new examples of monotone Lagrangian submanifolds,…
-type surface singularity and nondisplaceable Lagrangian tori
Yuhan Sun
We prove the existence of a one-parameter family of nondisplaceable Lagrangian tori near a linear chain of Lagrangian 2-spheres in a symplectic 4-manifold. When the symplectic stru…