Ping Li

activity

20232026

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math.AG2026

Topological obstructions to geometric positivity and negativity on Calabi-Yau manifolds

Ping Li

We study whether the topology underlying a Calabi-Yau manifold can support natural geometric positivity or negativity structures. In even complex dimension $n \geq 4$ (assuming $b_…

math.DG2026

The $χ_{y}$ -genus, Chern number inequalities and signature

Ping Li, Yibo Ren

This article has two parts. In the first part we introduce two positivity conditions for the modified $χ_{y}$ -genus on almost-complex manifolds and show that each of them implies a f…

Topological obstructions to geometric positivity and negativity on Calabi-Yau manifolds

The χy​-genus, Chern number inequalities and signature

The $χ_{y}$ -genus, Chern number inequalities and signature