3 papers
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…
math.CO2025
Decomposition of Cliques into -Star-Forests
Jiaxi Nie, Yibo Ren, Hehui Wu
A -star-forest is a forest with at most connected components where each component is a star. Let be the minimum integer such that the complete graph on vertices…