8 papers
Some cute applications of Lagrangian cobordisms towards examples in quantitative symplectic geometry
Jeff Hicks, Cheuk Yu Mak
We provide some constructions using Lagrangian cobordisms that improve known examples for some symplectic squeezing problems. Additionally, we prove a flexibility result that Lagra…
Orbifold Hamiltonian Floer theory for global quotients
Cheuk Yu Mak, Sobhan Seyfaddini, Ivan Smith
We construct bulk-deformed orbifold Hamiltonian Floer theory for a global quotient orbifold, that is the quotient of a smooth closed symplectic manifold by a finite group acting fa…
Coulomb branch algebras via symplectic cohomology
Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano
Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian -action for s…
Symplectic annular Khovanov homology and fixed point localizations
Kristen Hendricks, Cheuk Yu Mak, Sriram Raghunath
We introduce a new version of symplectic annular Khovanov homology and establish spectral sequences from (i) the symplectic annular Khovanov homology of a knot to the link Floer ho…
Orbifold Floer spectral invariants, symmetric product links and Weyl laws
Cheuk Yu Mak, Sobhan Seyfaddini, Ivan Smith
We explain a strategy, based on spectral invariants on symmetric product orbifolds, for proving the smooth closing lemma for Hamiltonian diffeomorphisms of a symplectic manifold wh…
-rigidity of the Hamiltonian diffeomorphism group of symplectic rational surfaces
Marcelo Atallah, Cheuk Yu Mak, Weiwei Wu
We investigate the -topology of the group of symplectic diffeomorphisms of positive symplectic rational surfaces. For all but a few exceptions, we prove that the group of Hami…