From the 1 of 10 linked papers with an AI index.
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Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay
Qiaochu Ma, Guoliang Yu
The paper proves Gromov’s conjecture that closed oriented manifolds with positive scalar curvature have zero simplicial volume, assuming a mild decay condition on the fundamental g…
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…
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…