2 citations · 4 across the 6 of their papers we have counts for
6 papers
Higher rho invariant and delocalized eta invariant at infinity
Xiaoman Chen, Hongzhi Liu, Hang Wang +1
In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact…
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…
On the relative -theory and the relative signature of PL manifolds with boundary
Bingzhe Hou, Hongzhi Liu
In this paper, we give a new description of the group structure of the relative structure group of PL manifolds with boundary, and obtain a surgery exact sequence in the category o…
Additive higher rho invariant for structure group in differential point of view
Baojie Jiang, Hongzhi Liu
In this paper, we adapt part of Weinberger, Xie and Yu's breakthrough work, to define additive higher rho invariant for topological structure group by differential geometric versio…
Two minimal unique ergodic diffeomorphisms on a manifolds and their smooth crossed product algebras
Hongzhi Liu
In this article we construct two minimal unique ergodic diffeomorphisms and on . We will show that $C(S^3 \times S^{6} \times S^{8}) \rtimes…
Smooth crossed products induced by minimal unique ergodic diffeomorphisms on odd spheres
Hongzhi Liu
For minimal unique ergodic diffeomorphisms of and of , the -crossed product algebra is isomor…