9 citations · 24 across the 14 of their papers we have counts for
14 papers
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…
Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
Soojin Cho, Jaehyun Hong, Eunjeong Lee
Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the coh…
Slide multiplicity free key polynomials
Soojin Cho, Stephanie van Willigenburg
Schubert polynomials are refined by the key polynomials of Lascoux-Schützenberger, which in turn are refined by the fundamental slide polynomials of Assaf-Searles. In this paper we…
Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties
Soojin Cho, Jaehyun Hong, Eunjeong Lee
We consider bases for the cohomology space of regular semisimple Hessenberg varieties, consisting of the classes that naturally arise from the Bialynicki-Birula decomposition of th…
Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3
Soojin Cho, Jaehyun Hong
We give a proof of Stanley-Stembridge conjecture on chromatic symmetric functions for the class of all unit interval graphs with independence number 3. That is, we show that the ch…
An analogue of chromatic bases and -positivity of skew Schur -functions
Soojin Cho, JiSun Huh, Sun-Young Nam
We investigate chromatic symmetric functions in the relation to the algebra of symmetric functions generated by Schur -functions. We construct natural bases of in terms…
On -positivity and -unimodality of chromatic quasisymmetric functions
Soojin Cho, JiSun Huh
The -positivity conjecture and the -unimodality conjecture of chromatic quasisymmetric functions are proved for some classes of natural unit interval orders. Recently, J. Sha…
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…
Chromatic classical symmetric functions
Soojin Cho, Stephanie van Willigenburg
In this note we classify when a skew Schur function is a positive linear combination of power sum symmetric functions. We then use this to determine precisely when any scalar multi…
Chromatic bases for symmetric functions
Soojin Cho, Stephanie van Willigenburg
In this note we obtain numerous new bases for the algebra of symmetric functions whose generators are chromatic symmetric functions. More precisely, if is a…
Permutation statistics and weak {B}ruhat order in permutation tableaux of type
Soojin Cho, Kyoungsuk Park
Many important statistics of signed permutations are realized in the corresponding permutation tableaux or bare tableaux of type : Alignments, crossings and inversions of signed…
The Combinatorics of -webs
Georgia Benkart, Soojin Cho, Dongho Moon
The nonelliptic -webs with ""s on the top boundary and ""s on the bottom boundary combinatorially model the space $\mathsf{Hom}_{\mathfrak{sl}_3}(\m…
A combinatorial proof of a symmetry of -Eulerian numbers of type and type
Soojin Cho, Kyoungsuk Park
A symmetry of -Eulerian numbers of type is combinatorially proved by defining an involution preserving many important statistics on the set of permutation tableaux of ty…