24 citations · 138 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
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…
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.