10 citations · 30 across the 8 of their papers we have counts for
11 papers
On the KO-groups of toric manifolds
Li Cai, Suyoung Choi, Hanchul Park
In this paper we consider the real topological K-groups of a toric manifold M, which turns out to be closely related to the topology of the small cover MR, the fixed points under t…
Graph invariants and Betti numbers of real toric manifolds
Boram Park, Hanchul Park, Seonjeong Park
For a graph , a graph cubeahedron and a graph associahedron are simple convex polytopes which admit (real) toric manifolds. In this paper, we introduce…
Multiplication structure of the cohomology ring of real toric spaces
Suyoung Choi, Hanchul Park
A real toric space is a topological space which admits a well-behaved -action. Real moment-angle complexes and real toric varieties are typical examples of real tor…
The cohomology groups of real toric varieties associated to Weyl chambers of type and
Suyoung Choi, Shizuo Kaji, Hanchul Park
Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated to the Weyl chambers. We compute the int…
Small covers over wedges of polygons
Suyoung Choi, Hanchul Park
A small cover is a closed smooth manifold of dimension having a locally standard -action whose orbit space is isomorphic to a simple polytope. A typical example…
The Betti numbers of real toric varieties associated to Weyl chambers of type
Suyoung Choi, Boram Park, Hanchul Park
We compute the (rational) Betti number of real toric varieties associated to Weyl chambers of type . Furthermore, we show that their integral cohomology is -torsion free for…
Wedge operations and a new family of projective toric manifolds
Suyoung Choi, Hanchul Park
Let denote a simplicial complex obtainable from consecutive wedge operations from an -gon. In this paper, we completely classify toric manifolds over and prove…
Wedge operations and torus symmetries II
Suyoung Choi, Hanchul Park
A fundamental idea in toric topology is that classes of manifolds with well-behaved torus actions (simply, toric spaces) are classified by pairs of simplicial complexes and (non-si…
On the cohomology and their torsion of real toric objects
Suyoung Choi, Hanchul Park
In this paper, we do the two things. 1. We present a formula to compute the rational cohomology ring of a real topological toric manifold, and thus that of a small cover or a real…
Wedge operations and torus symmetries
Suyoung Choi, Hanchul Park
A fundamental result of toric geometry is that there is a bijection between toric varieties and fans. More generally, it is known that some class of manifolds having well-behaved t…
A new graph invariant arises in toric topology
Suyoung Choi, Hanchul Park
In this paper, we introduce new combinatorial invariants of any finite simple graph, which arise in toric topology. We compute the -th (rational) Betti number and Euler characte…