4 papers
Equivariant bordism rigidity for toric manifolds
Runze Chen, Yuanxin Guan, Zhi Lü
In this paper, we develop a bordism-theoretic approach to rigidity problems for toric and quasitoric manifolds. We prove that two toric manifolds are isomorphic as varieties if and…
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…
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…