24 citations · 138 across the 35 of their papers we have counts for
20 papers · 1 filter
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…
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…
Twisted Milnor Hypersurface I
Jingfang Lian, Fei Han, Hao Li +1
In this paper, we study {\bf twisted Milnor hypersurfaces} and compute their -genus and Atiyah-Singer-Milnor -invariant. Our tool to compute the -invariant is Zhang's…
Cohomology ring of manifold arrangements
Junda Chen, Zhi Lü, Jie Wu
We study the cohomology ring of the complement of a manifold arrangement in a smooth manifold without boundary. We first give the conce…
Lickorish type construction of manifolds over simple polytopes
Zhi Lü, Wei Wang, Li Yu
This paper is a survey on the Lickorish type construction of some kind of closed manifolds over simple convex polytopes. Inspired by Lickorish's theorem, we propose a method to des…
Calabi-Yau hypersurfaces and SU-bordism
Ivan Limonchenko, Zhi Lu, Taras Panov
Batyrev constructed a family of Calabi-Yau hypersurfaces dual to the first Chern class in toric Fano varieties. Using this construction, we introduce a family of Calabi-Yau manifol…
Rigidity of powers and Kosniowski's conjecture
Zhi Lü, Oleg R. Musin
In this paper we state a problem on rigidity of powers, which has a strong topological background for the rigid Hirzebruch genera and Kosniowski's conjecture of unitary circle acti…
Elementary symmetric polynomials in Stanley--Reisner face ring
Zhi Lü, Jun Ma, Yi Sun
Let be a simple polytope of dimension with facets. In this paper we pay our attention on those elementary symmetric polynomials in the Stanley--Reisner face ring of …
Self-dual binary codes from small covers and simple polytopes
Bo Chen, Zhi Lü, Li Yu
We explore the connection between simple polytopes and self-dual binary codes via the theory of small covers. We first show that a small cover over a simple -polytope $P^n…
On toric generators in the unitary and special unitary bordism rings
Zhi Lu, Taras Panov
We construct a new family of toric manifolds generating the unitary bordism ring. Each manifold in the family is the complex projectivisation of the sum of a line bundle and a triv…
Equivariant cohomology Chern numbers determine equivariant unitary bordism for torus groups
Zhi Lü, Wei Wang
This paper shows that the integral equivariant cohomology Chern numbers completely determine the equivariant geometric unitary bordism classes of closed unitary -manifolds, whic…
Equivariant bordism of 2-torus manifolds and unitary toric manifolds--a survey
Zhi Lü
In this paper we survey results and recent progresses on the equivariant bordism classification of 2-torus manifolds and unitary toric manifolds.
Examples of quasitoric manifolds as special unitary manifolds
Zhi Lü, Wei Wang
This note shows that for each with only , there exists a -dimensional specially omnioriented quasitoric manifold which represents a nonzero element…
Orbit configuration spaces of small covers and quasi-toric manifolds
Junda Chen, Zhi Lü, Jie Wu
In this article, we investigate the orbit configuration spaces of some equivariant closed manifolds over simple convex polytopes in toric topology, such as small covers, quasi-tori…
Equivariant Chern numbers and the number of fixed points for unitary torus manifolds
Zhi Lü, Qiangbo Tan
Let be a unitary torus -manifold, i.e., a -dimensional oriented stable complex connected closed -manifold having a nonempty fixed set. In this paper we sh…
Small covers and the equivariant bordism classification of 2-torus manifolds
Zhi Lü, Qiangbo Tan
Associated with the Davis-Januszkiewicz theory of small covers, this paper deals with the theory of 2-torus manifolds from the viewpoint of equivariant bordism. We define a differe…
Moment-angle complexes from simplicial posets
Zhi Lu, Taras Panov
We extend the construction of moment-angle complexes to simplicial posets by associating a certain T^m-space Z_S to an arbitrary simplicial poset S on m vertices. Face rings Z[S] o…
2-torus manifolds, cobordism and small covers
Zhi Lü
Let be the set of equivariant unoriented cobordism classes of all -dimensional 2-torus manifolds, where an -dimensional 2-torus manifold is a smooth closed…
Corrections to: Involutions fixing , II
Bo Chen, Zhi Lü
The purpose of this note is to correct statements of some assertions in \cite{l}.
Graphs and -actions
Zhi Lü
Let denote all nonbounding effective smooth -actions on -dimensional smooth closed connected manifolds, each of which is cobordant to one with…