34 citations · 71 across the 24 of their papers we have counts for
6 papers · 1 filter
Permutation module decomposition of the cohomology of Hessenberg varieties associated with lollipop graphs
Soojin Cho, Seonjeong Park
We study the cohomology of regular semisimple Hessenberg varieties associated with lollipop graphs as a module under the dot action. Using the natural basis introduced by Cho, Hong…
Towards combinatorial characterization of the smoothness of Hessenberg Schubert varieties
Soojin Cho, JiSun Huh, Seonjeong Park
A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined as the closure of a Schubert cell inter…
Torus orbit closures in flag varieties and retractions on Weyl groups
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
A finite Coxeter group has a natural metric and if is a subset of , then for each , there is such that …
Toric Bruhat interval polytopes
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
For two elements and of the symmetric group with in Bruhat order, the Bruhat interval polytope is the convex hull of the points $(z(1),…
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…
On shellability for a poset of even subgraphs of a graph
Boram Park, Seonjeong Park
Given a simple graph , a poset of its even subgraphs was firstly considered by S. Choi and H. Park to study the topology of a real toric manifold associated with . S. Choi an…