35 citations · 212 across the 36 of their papers we have counts for
47 papers
On Sections of Quotient maps by Isometries
Suyoung Choi, Tao Gong
Suppose that a discrete group acts smoothly, properly, and effectively on a connected smooth manifold , and let be the quotient map. We prove that if admits…
Cohomological rigidity of smooth toric Fano fourfolds
Suyoung Choi
We prove that any two smooth toric Fano fourfolds whose integral cohomology rings are isomorphic as graded rings are diffeomorphic.
Symplectic and projective small covers over products of polygons
Suyoung Choi
We study symplectic and projective structures on small covers over products of polygons. We introduce the factor-compatible class for small covers over products of polygons and pro…
Symplectic small covers in dimension four
Suyoung Choi
We study symplectic structures on four-dimensional small covers. Our main result shows that every symplectic four-dimensional small cover is aspherical. We then classify symplectic…
Learning Whole-body Manipulation for Quadrupedal Robot
Seunghun Jeon, Moonkyu Jung, Suyoung Choi +2
We propose a learning-based system for enabling quadrupedal robots to manipulate large, heavy objects using their whole body. Our system is based on a hierarchical control strategy…
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.
The characterization of -spheres with vertices having maximal Buchstaber number
Suyoung Choi, Hyeontae Jang, Mathieu Vallée
We present a computationally efficient algorithm that is suitable for graphic processing unit implementation. This algorithm enables the identification of all weak pseudo-manifolds…
Strong Cohomological rigidity of Bott manifolds
Suyoung Choi, Taekgyu Hwang, Hyeontae Jang
We show that the strong cohomological rigidity conjecture for Bott manifolds is true. Namely, any graded cohomology ring isomorphism between two Bott manifolds is induced by a diff…
An algorithmic strategy for finding characteristic maps over wedged simplicial complexes
Suyoung Choi, Mathieu Vallée
The puzzle method was introduced by Choi and Park as an effective method for finding non-singular characteristic maps over wedged simplicial complexes obtained from a given…
Gromov width of symplectic toric manifolds associated with graphs
Suyoung Choi, Taekgyu Hwang
We give an explicit formula for the Gromov width for a class of symplectic toric manifolds constructed from simple graphs. As a corollary, we show a version of non-squeezing theore…
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…
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…
Example of C-rigid polytopes which are not B-rigid
Suyoung Choi, Kyoungsuk Park
A simple polytope is said to be \emph{B-rigid} if its combinatorial structure is characterized by its Tor-algebra, and is said to be \emph{C-rigid} if its combinatorial structu…
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…
Geometric representations of finite groups on real toric spaces
Soojin Cho, Suyoung Choi, Shizuo Kaji
We develop a framework to construct geometric representations of finite groups through the correspondence between real toric spaces and simplicial complexes wit…
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…
Integral cohomology groups of real toric manifolds and small covers
Li Cai, Suyoung Choi
For a simplicial complex with vertices, there is a canonical -space known as a real moment angle complex . In this paper, we consider…
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…
Pseudograph and its associated real toric manifold
Suyoung Choi, Boram Park, Seonjeong Park
Given a simple graph , the graph associahedron is a convex polytope whose facets correspond to the connected induced subgraphs of . Graph associahedra have been studied…
Homotopy decomposition of a suspended real toric space
Suyoung Choi, Shizuo Kaji, Stephen Theriault
We give -local homotopy decompositions of the suspensions of real toric spaces for odd primes . Our decomposition is compatible with the one given by Bahri, Bendersky, Cohen,…
Invariance of Pontrjagin classes for Bott manifolds
Suyoung Choi, Mikiya Masuda, Satoshi Murai
A Bott manifold is the total space of some iterated -bundle over a point. We prove that any graded ring isomorphism between the cohomology rings of two Bott manifold…