From the 1 of 5 linked papers with an AI index.
5 papers
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…
Discrete Mixed Quantization
Qiaochu Ma
In this paper, we develop a mixed quantization technique for graph vector bundles and apply it to several asymptotic spectral problems, including the Alon-Boppana bound, the Kesten…
Superconnection and Orbifold Chern character
Qiaochu Ma, Xiang Tang, Hsian-Hua Tseng +1
We use flat antiholomorphic superconnections to study orbifold Chern character following the method introduced by Bismut, Shen, and Wei. We show the uniqueness of orbifold Chern ch…
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…