Yin Li

activity

20162026

collaborators

5 papers

math.AG2026

Abundance of affine algebraic structures on stabilized cotangent bundles of surfaces

Yin Li

We show that for any $g \geq 2$ , there exist uncountably many non-isomorphic smooth affine threefolds that are Stein deformation equivalent to $T^{*} Σ_{g} \times C$ , the produc…

math.SG2023

Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations

Yin Li

Given a closed, oriented Lagrangian submanifold $L$ in a Liouville domain $M$ , one can define a Maurer-Cartan element with respect to a certain $L_{\infty}$ -structure on t…

math.SG2021

Nonexistence of exact Lagrangian tori in affine conic bundles over $C^{n}$

Yin Li

Let $M \subset C^{n + 1}$ be a smooth affine hypersurface defined by the equation $x y + p (z_{1}, \dots, z_{n - 1}) = 1$ , where $p$ is a Brieskorn-Pham polynomial and $n \geq 2$ . We prove…

math.SG2017

Koszul duality via suspending Lefschetz fibrations

Yin Li

Let $M$ be a Liouville 6-manifold which is the smooth fiber of a Lefschetz fibration on $C^{4}$ constructed by suspending a Lefschetz fibration on $C^{3}$ . We prove t…

math.SG2016

Disjoinable Lagrangian tori and semisimple symplectic cohomology

Yin Li

We derive constraints on Lagrangian embeddings in completions of certain stable symplectic fillings with semisimple symplectic cohomologies. Manifolds with these properties can be…

Abundance of affine algebraic structures on stabilized cotangent bundles of surfaces

Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations

Nonexistence of exact Lagrangian tori in affine conic bundles over Cn

Koszul duality via suspending Lefschetz fibrations

Disjoinable Lagrangian tori and semisimple symplectic cohomology

Nonexistence of exact Lagrangian tori in affine conic bundles over $C^{n}$