8 papers · 1 filter
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…
Affine nil-Hecke algebras and Quantum cohomology
Eduardo González, Cheuk Yu Mak, Dan Pomerleano
Let be a compact, connected Lie group and a maximal torus. Let be a monotone closed symplectic manifold equipped with a Hamiltonian action of . We cons…
Non-displaceable Lagrangian links in four-manifolds
Cheuk Yu Mak, Ivan Smith
Let denote an area form on . Consider the closed symplectic 4-manifold with . We show that there are families of displaceable Lagr…
Fukaya-Seidel categories of Hilbert schemes and parabolic category
Cheuk Yu Mak, Ivan Smith
We realise Stroppel's extended arc algebra in the Fukaya-Seidel category of a natural Lefschetz fibration on the generic fiber of the adjoint quotient map on a type nilpotent s…
Tropically constructed Lagrangians in mirror quintic threefolds
Cheuk Yu Mak, Helge Ruddat
We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. We apply this construc…