9 papers
On the toric lifting properties for simplicial -spheres
Suyoung Choi, Yuanxin Guan, Hyeontae Jang +1
We study the lifting problem for mod characteristic maps over simplicial -spheres. Using a bad-block partition of the universal complex , we prove an avoi…
Reduced characteristic number criteria for - and -equivariant bordisms
Runze Chen, Zhi Lü, Leqi Yang
Classical equivariant bordism theories require computing the full collection of equivariant characteristic numbers to detect whether an equivariant manifold bounds equivariantly or…
Equivariant Milnor map
Mathilda Campillo, Yuanxin Guan, Zhi Lü +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…
Non-finitely generated -equivariant bordism ring
Yuanxin Guan, Zhi Lü
In 1998, Mukherjee and Sankaran posed two problems concerning the algebraic structure of the equivariant bordism ring of smooth closed -manifolds with only isolat…
Homological Description of Equivariant Geometric Bordism
Bo Chen, Hao Li, Zhi Lü
Using the evenness criterion in \cite{LCLS} and duality principle in \cite{CLT}, we construct a finite chain complex built from the unive…
Representation characterization of equivariant geometric bordism
Hao Li, Bo Chen, Zhi Lü +1
Let . We establish a representation characterization determining when finitely many faithful -representations can serve as the fixed-point data of a smoot…