Yin Li

activity

20242026

collaborators

4 papers

math.SG2026

Lagrangian capacity and chain level string topology

Shah Faisal, Yin Li

We derive upper bounds for the Lagrangian capacities of Liouville domains with finite Gutt--Hutchings capacities and show that the Lagrangian capacity of a convex or concave toric…

math.SG2025

Plumbings of lens spaces and crepant resolutions of compound $A_{n}$ singularities

Bilun Xie, Yin Li

For many compound $A_{n}$ ( $c A_{n}$ ) singularities $R_{f} = C [u, v, x, y] / (uv - f (x, y))$ with crepant resolutions $Y_{f}$ , their mirrors are affine $A_{n}$ plumbings $W_{f}^{\circ}$ of $3$ -dim…

math.SG2025

Persistence of unknottedness of clean Lagrangian intersections

Johan Asplund, Yin Li

Let $Q_{0}$ and $Q_{1}$ be two Lagrangian spheres in a $6$ -dimensional symplectic manifold. Assume that $Q_{0}$ and $Q_{1}$ intersect cleanly along a circle that is unknotted in both $Q_{0}$ …

math.SG2024

Fukaya categories of hyperplane arrangements

Sukjoo Lee, Yin Li, Si-Yang Liu +1

To a simple polarized hyperplane arrangement (not necessarily cyclic) $V$ , one can associate a stopped Liouville manifold (equivalently, a Liouville sector) $\left(M(\math…

Lagrangian capacity and chain level string topology

Plumbings of lens spaces and crepant resolutions of compound An​ singularities

Persistence of unknottedness of clean Lagrangian intersections

Fukaya categories of hyperplane arrangements

Plumbings of lens spaces and crepant resolutions of compound $A_{n}$ singularities