2 papers
math.DG2025
A Product Formula for Family Indices and Family Band Width Estimates
Chenkai Song
We extend Gromov's conjecture on the sharp width estimate for Riemannian bands with positive scalar curvature to the family case and prove that it holds for fiber bundles with infi…
math.AG2024
The Syzygy Matrix and the Differential for Rational Curves in Projective Space
Chen Song
In this paper, we study whether a given morphism from the tangent bundle of to a balanced vector bundle of degree is induced by the restriction of the t…