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math.DG2026
Torsion algebras of Hermitian manifolds and rigidity
Wangyang Lin, Yibo Ren
We regard the Chern torsion of a Hermitian manifold as a skew-symmetric complex-bilinear product on its holomorphic tangent bundle. For a compact connected Chern--Kähler-like Hermi…
math.DG2026
The -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 -genus on almost-complex manifolds and show that each of them implies a f…