15 citations · 78 across the 20 of their papers we have counts for
23 papers
Localization of Lagrangian Floer homology for -actions
Erkao Bao, Tyler Lawson, Cheuk Yu Mak
For an odd prime , we prove a Smith inequality over for exact Lagrangian Floer homology under a symplectic -action, assuming an equivariant stable n…
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…
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…
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…
Fukaya categories of hyperplane arrangements
Sukjoo Lee, Yin Li, Si-Yang Liu +1
To a simple polarized hyperplane arrangement (not necessarily cyclic) , one can associate a stopped Liouville manifold (equivalently, a Liouville sector) $\left(M(\math…
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 som…
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.…
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…
Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces
Dan Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak +2
This paper continues the study of link spectral invariants on compact surfaces, introduced in our previous work and shown to satisfy a Weyl law in which they asymptotically recover…
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…
Quantitative Heegaard Floer cohomology and the Calabi invariant
Daniel Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak +2
We define a new family of spectral invariants associated to certain Lagrangian links in compact and connected surfaces of any genus. We show that our invariants recover the Calabi…
Circular spherical divisors and their contact topology
Tian-Jun Li, Cheuk Yu Mak, Jie Min
This paper investigates the symplectic and contact topology associated to circular spherical divisors. We classify, up to toric equivalence, all concave circular spherical divisors…
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…
Spherical twists and Lagrangian spherical manifolds
Cheuk Yu Mak, Weiwei Wu
We study Dehn twists along Lagrangian submanifolds that are finite quotients of spheres. We decribe the induced auto-equivalences to the derived Fukaya category and explain its rel…
Geometry of symplectic log Calabi-Yau pairs
Tian-Jun Li, Cheuk Yu Mak
We will survey some aspects of the smooth topology, algebraic geometry, symplectic geometry and contact geometry of anti-canonical pairs in complex dimension two.
The Kodaira dimension of contact 3-manifolds and geography of symplectic fillings
Tian-Jun Li, Cheuk Yu Mak
We introduce the Kodaira dimension of contact 3-manifolds and establish some basic properties. In particular, contact 3-manifolds with distinct Kodaria dimensions behave differentl…
Symplectic log Calabi-Yau surface---deformation class
Tian-Jun Li, Cheuk Yu Mak
We study the symplectic analogue of log Calabi-Yau surfaces and show that the symplectic deformation classes of these surfaces are completely determined by the homological informat…
Dehn twists exact sequences through Lagrangian cobordism
Cheuk Yu Mak, Weiwei Wu
In this paper we introduce the following new ingredients: (1) rework on part of the Lagrangian surgery theory; (2) constructions of Lagrangian cobordisms on product symplectic mani…
Calabi-Yau Caps, Uniruled Caps and Symplectic Fillings
Tian-Jun Li, Cheuk Yu Mak, Kouichi Yasui
We introduce symplectic Calabi-Yau caps to obtain new obstructions to exact fillings. In particular, it implies that any exact filling of the standard unit cotangent bundle of a hy…
Symplectic Divisorial Capping in Dimension 4
Tian-Jun Li, Cheuk Yu Mak
We investigate the notion of symplectic divisorial compactification for symplectic 4-manifolds with either convex or concave type boundary. This is motivated by the notion of compa…