3 papers
math.AT2026
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…
math.AT2026
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…
math.AT2026
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…