22 citations · 24 across the 11 of their papers we have counts for
5 papers · 1 filter
Gromov's dihedral rigidity conjecture in dimension three
Jinmin Wang, Zhizhang Xie, Guoliang Yu
In this article, we present a self-contained proof of Gromov's dihedral rigidity conjecture on scalar curvature in the three-dimensional case. The proof avoids many of the technica…
Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature
Qiaochu Ma, Jinmin Wang, Zhizhang Xie +2
In this paper, we prove Gromov's simplicial volume vanishing conjecture for closed manifolds with spin universal cover. More precisely, we show that if a closed oriented manifold a…
Small scale index theory, scalar curvature, and Gromov's simplicial norms
Qiaochu Ma, Guoliang Yu
In this article, we study the topological complexity of manifolds with a lower scalar curvature bound. We introduce a small scale index theorem to establish an upper bound for Grom…
Bounding the A-hat genus using scalar curvature lower bounds and isoperimetric constants
Qiaochu Ma, Jinmin Wang, Guoliang Yu +1
In this paper, we prove an upper bound on the genus of a smooth, closed, spin Riemannian manifold using its scalar curvature lower bound, Neumann isoperimetric consta…
Filling Radius, Quantitative -theory and Positive Scalar Curvature
Jinmin Wang, Zhizhang Xie, Guoliang Yu +1
We prove a quantitative upper bound on the filling radius of complete, spin manifolds with uniformly positive scalar curvature using the quantitative operator -theory and index…