Ping Li

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math.DG2026

The $I ¨ _{y}$ -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 $I ¨ _{y}$ -genus on almost-complex manifolds and show that each of them implies a…

math.DG2025

Explicit formulas for the Hattori-Stong theorem and applications

Ping Li, Wangyang Lin

We employ combinatorial techniques to present an explicit formula for the coefficients in front of Chern classes involving in the Hattori-Stong integrability conditions. We also gi…

math.DG2025

Hamiltonian circle action, invariant hypersurface and the complex projective space

Ping Li

Let $M$ be a $2 n$ -dimensional closed symplectic manifold admitting a Hamiltonian circle action with isolated fixed points. We show that if $M$ contains an $S^{1}$ -invariant symplecti…

math.DG2025

Chern numbers on positive vector bundles and combinatorics

Ping Li

Combinatorial ideas are developed in this article to study Chern numbers on ample and numerically effective vector bundles. An effective lower bound for Chern numbers of ample vect…

The I¨y​-genus, Chern number inequalities and signature

Explicit formulas for the Hattori-Stong theorem and applications

Hamiltonian circle action, invariant hypersurface and the complex projective space

Chern numbers on positive vector bundles and combinatorics

The $I ¨ _{y}$ -genus, Chern number inequalities and signature