activity
20052023
most citedTopological types of 3-dimensional small covers

24 citations · 138 across the 35 of their papers we have counts for

collaborators

36 papers

math.AT2023

Iterated residue, toric forms and Witten genus

Fei Han, Hao Li, Zhi Lü

We introduce the notion of {\em iterated residue} to study generalized Bott manifolds. When applying the iterated residues to compute the Borisov-Gunnells toric form and the Witten…

math.CO2022

Asymptotic estimate on the distance energy of lattices

Zhipeng Lu, Xianchang Meng

Since the well-known breakthrough of L. Guth and N. Katz on the Erdos distinct distances problem in the plane, mainstream of interest is aroused by their method and the Elekes-Shar…

math.AT2022

Equivariant Bordism of 2-Torus Manifolds and Unitary Toric Manifolds

Bo Chen, Zhi Lü, Qiangbo Tan

The equivariant bordism classification of manifolds with group actions is an essential subject in the study of transformation groups. We are interesting in the action of 2-torus gr…

math.GT2021

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…

math.CO2021

On the inner product problem in the plane

Zhipeng Lu

We establish the optimal lower bound for counting the number of distinct inner products of pairs from any given vectors in . Essentially, we lift a related in…

math.GT2021

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…