From the 1 of 6 linked papers with an AI index.
6 papers
On small covers over Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
The paper classifies real toric manifolds (small covers) over Bier spheres that arise from the skeleta of a simplex, determines their homeomorphism types for certain skeleta, and c…
Small covers as pullbacks from the simplex
Suyoung Choi, Hyeontae Jang, Younghan Yoon
We introduce and study small covers that are pullbacks from the simplex, extending pullbacks from the linear model. Our main result gives several equivalent characterizations of th…
Full subcomplexes of Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
Full subcomplexes of a simplicial complex encode essential structure for understanding the complex itself. For a simplicial complex , possibly with a ghost vertex, the Bier sphe…
Real toric manifolds associated with chordal nestohedra
Suyoung Choi, Younghan Yoon
This paper investigates the rational Betti numbers of real toric manifolds associated with chordal nestohedra. We consider the poset topology of a specific poset induced from a cho…
Cohomology of type real permutohedral varieties
Younghan Yoon
Type and type permutohedral varieties are classic examples of mathematics, and their topological invariants are well known. This naturally leads to the investigation of the…
The cohomology rings of real permutohedral varieties
Suyoung Choi, Younghan Yoon
A permutohedral variety is a remarkable object in various areas of mathematics, and its topological invariants are widely recognized. However, only little is known about a real per…