Zhi Lu

activity

20242026

collaborators

5 papers

math.AT2026

Reduced characteristic number criteria for equivariant bordism of $T^{k}$ - and $(Z_{2})^{k}$ -manifolds with isolated fixed points

Runze Chen, Zhi LÃ¼, Leqi Yang

Classical equivariant bordism theories require computing the full collection of equivariant characteristic numbers to detect whether an equivariant manifold bounds equivariantly or…

math.AT2026

Equivariant Milnor map

Mathilda Campillo, Yuanxin Guan, Zhi LÃ¼ +1

The Milnor map is the homomorphism from the unitary bordism ring to the unoriented bordism ring, halving the dimension, that maps the unitary bordism classes of the complex Milnor…

math.AT2026

Non-finitely generated $(Z_{2})^{k}$ -equivariant bordism ring

Yuanxin Guan, Zhi LÃ¼

In 1998, Mukherjee and Sankaran posed two problems concerning the algebraic structure of the equivariant bordism ring of smooth closed $(Z_{2})^{k}$ -manifolds with only isolat…

math.AT2025

On the homology description of equivariant unoriented bordism groups

Bo Chen, Zhi LÃ¼

We construct a chain complex $B$ based on a double complex derived from the universal complex $X (Z_{2}^{n})$ . It is shown that $B$ has a nontrivial homol…

math.AT2024

Bistellar Cluster Algebras and Piecewise Linear Invariants

Alastair Darby, Fang Li, Zhi Lu

Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulate…

Reduced characteristic number criteria for equivariant bordism of Tk- and (Z2​)k-manifolds with isolated fixed points

Equivariant Milnor map

Non-finitely generated (Z2​)k-equivariant bordism ring

On the homology description of equivariant unoriented bordism groups

Bistellar Cluster Algebras and Piecewise Linear Invariants

Reduced characteristic number criteria for equivariant bordism of $T^{k}$ - and $(Z_{2})^{k}$ -manifolds with isolated fixed points

Non-finitely generated $(Z_{2})^{k}$ -equivariant bordism ring