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On small covers over Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
The Bier sphere of a simplicial complex is defined as the deleted join of and its combinatorial Alexander dual. We focus on the class of Bier spheres of the skeleta of a si…
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…
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…
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…
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…
The Betti numbers of real toric varieties associated to Weyl chambers of types E7 and E8
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
We compute the rational Betti numbers of the real toric varieties associated to Weyl chambers of types and , completing the computations for all types of root systems.