10 citations · 39 across the 17 of their papers we have counts for
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Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces
Sam Bardwell-Evans, Man-Wai Mandy Cheung, Hansol Hong +1
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from Lagrangian Floer theory of the fibres. Then we prove that the scattering diagra…
Some Examples of Family Floer Mirrors
Man-Wai Mandy Cheung, Yu-Shen Lin
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Kee…
Enumerative Geometry of Del Pezzo Surfaces
Yu-Shen Lin
We prove an equivalence between the superpotential defined via tropical geometry and Lagrangian Floer theory for special Lagrangian torus fibres in del Pezzo surfaces constructed b…
Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
Hansol Hong, Yu-Shen Lin, Jingyu Zhao
We provide an inductive algorithm to compute the bulk-deformed potentials for toric Fano surfaces via wall-crossing techniques and a tropical-holomorphic correspondence theorem for…
On the Tropical Discs Counting on Elliptic K3 Surfaces with General Singular Fibres
Yu-Shen Lin
Using Lagrangian Floer theory, we study the tropical geometry of K3 surfaces with general singular fibres. In particular, we give the local models for the type , , a…
Correspondence Theorem between Holomorphic Discs and Tropical Discs on K3 Surfaces
Yu-Shen Lin
We prove that the open Gromov-Witten invariants on K3 surfaces satisfy the Kontsevich-Soibelman wall-crossing formula. One one hand, this gives a geometric interpretation of the sl…
Reduced Open Gromov-Witten Invariants on K3 Surfaces and Multiple Cover Formula
Yu-Shen Lin
In the paper, we study the wall-crossing phenomenon of reduced open Gromov-Witten invariants on K3 surfaces with rigid special Lagrangian boundary condition. As a corollary, we der…
Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing
Yu-Shen Lin
In this paper, we study holomorphic discs in K3 surfaces and defined the open Gromov-Witten invariants. Using this new invariant, we can establish a version of correspondence betwe…
Reduced Open Gromov-Witten Invariants on HyperKäher Manifolds
Yu-Shen Lin
We use the hyperKäler geometry define an disc-counting invariants with deformable boundary condition on hyperKähler manifolds. Unlike the reduced Gromov-Witten invariants, these in…