3 papers
math.DG2021
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension
Jinmin Wang, Zhizhang Xie, Guoliang Yu
Gromov proved a quadratic decay inequality of scalar curvature for a class of complete manifolds. In this paper, we prove that for any uniformly contractible manifold with finite a…
math.KT2019
On localized signature and higher rho invariant of fibered manifolds
Hongzhi Liu, Jinmin Wang
Higher index of signature operator is a far reaching generalization of signature of a closed oriented manifold. When two closed oriented manifolds are homotopy equivalent, one can…
math.KT2019
Delocalized eta invariants, cyclic cohomology and higher rho invariants
Xiaoman Chen, Jinmin Wang, Zhizhang Xie +1
The first main result of this paper is to prove that the convergence of Lott's delocalized eta invariant holds for all differential operators with a sufficiently large spectral gap…