C. Mak

collaborators

5 papers

math.SG2019

Non-displaceable Lagrangian links in four-manifolds

Cheuk Yu Mak, Ivan Smith

Let $ω$ denote an area form on $S^{2}$ . Consider the closed symplectic 4-manifold $M = (S^{2} \times S^{2}, A ω \oplus aω)$ with $0 < a < A$ . We show that there are families of displaceable Lagr…

math.SG2019

Fukaya-Seidel categories of Hilbert schemes and parabolic category $O$

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 $A$ nilpotent s…

math.SG2019

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…

math.SG2018

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…

math.SG2018

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.

Non-displaceable Lagrangian links in four-manifolds

Fukaya-Seidel categories of Hilbert schemes and parabolic category O

Tropically constructed Lagrangians in mirror quintic threefolds

Spherical twists and Lagrangian spherical manifolds

Geometry of symplectic log Calabi-Yau pairs

Fukaya-Seidel categories of Hilbert schemes and parabolic category $O$