From the 1 of 4 linked papers with an AI index.
4 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…
Shape-Aware Topological Representation for Pipeline Hyperbola Detection in GPR Data
Meiyan Kang, Shizuo Kaji, Sang-Yun Lee +3
Ground Penetrating Radar (GPR) is a widely used Non-Destructive Testing (NDT) technique for subsurface exploration, particularly in infrastructure inspection and maintenance. Howev…
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…