37 citations · 47 across the 3 of their papers we have counts for
3 papers
math.KT2015★ 8 cited
Positive scalar curvature and a new index theory for noncompact manifolds
Stanley Chang, Shmuel Weinbeger, Guoliang Yu
In this article, we develop a new index theory for noncompact manifolds endowed with an admissible exhaustion by compact sets. This index theory allows us to provide examples of no…
math.GT2003★ 37 cited
On Invariants of Hirzebruch and Cheeger-Gromov
Stanley Chang, Shmuel Weinberger
We prove that, if M is a compact oriented manifold of dimension 4k+3, where k>0, such that pi_1(M) is not torsion-free, then there are infinitely many manifolds that are homotopic…
math.DG2000★ 2 cited
Coarse Obstructions to Positive Scalar Curvature Metrics in Noncompact Arithmetic Manifolds
Stanley S. Chang
Block and Weinberger show that an arithmetic manifold can be endowed with a positive scalar curvature metric if and only if its $\rationals$-rank exceeds 2. We show in this article…