24 citations · 138 across the 35 of their papers we have counts for
9 papers · 1 filter
A proof of Kosniowski conjecture
Zhi Lü
Let be a unitary -manifold with only isolated fixed points such that is not a boundary. We show that , where is the Euler characteristic of . T…
Geodesic cover of Fuchsian groups
Zhipeng Lu
We study unions of fundamental domains of a Fuchsian group, especially those with hyperbolic plane metric realizing the metric of the corresponding hyperbolic surface. We call thes…
Topology and geometry of flagness and beltness of simple orbifolds
Zhi Lü, Lisu Wu
We consider a class of right-angled Coxeter orbifolds, named as simple orbifolds, which are a generalization of simple polytopes. Similarly to manifolds over simple polytopes, the…
Projective bundles over small covers and topological triviality problem
Shintaro Kuroki, Zhi Lu
This paper investigates the projectivization of real vector bundles over small covers. We first give a necessary and sufficient condition for such a projectivization to be a small…
Cohomological rigidity and the number of homeomorphism types for small covers over prisms
Xiangyu Cao, Zhi Lü
In this paper, based upon the basic theory for glued manifolds in M.W. Hirsch (1976) \cite[Chapter 8, §2 Gluing Manifolds Together]{h}, we give a method of constructing homeomorphi…
On 3-manifolds with locally-standard (Z_2)^3-actions
Zhi Lü, Li Yu
As a generalization of Davis-Januszkiewicz theory, there is an essential link between locally standard -actions (or -actions) actions and nice manifolds with corners…
Equivariant classification of 2-torus manifolds
Zhi Lü, Mikiya Masuda
A 2-torus manifold is a closed smooth manifold of dimension with an effective action of a 2-torus group of rank , and it is said to be locally standard if it is l…
Topological types of 3-dimensional small covers
Zhi Lü, Li Yu
In this paper we study the (equivariant) topological types of a class of 3-dimensional closed manifolds (i.e., 3-dimensional small covers), each of which admits a locally standard…
Manifolds associated with -colored regular graphs
Zhiqiang Bao, Zhi Lü
In this article we describe a canonical way to expand a certain kind of -colored regular graphs into closed -manifolds by adding cells determined by the edg…