7 citations · 17 across the 8 of their papers we have counts for
9 papers
Torus orbit closures in the flag variety
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand--Serganova in the mid-1980s, but it seems that not much has been done since t…
Lagrangian fillings for Legendrian links of finite or affine Dynkin type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of finite type or affine type $\tilde{\mathsf{D}} \tilde{\m…
Complete intersection hyperkähler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one
Eunjeong Lee, Kyeong-Dong Park
We classify fourfolds with trivial canonical bundle which are zero loci of general global sections of completely reducible equivariant vector bundles over exceptional homogeneous v…
Lagrangian fillings for Legendrian links of affine type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of affine type . We also provide as…
On folded cluster patterns of affine type
Byung Hee An, Eunjeong Lee
A cluster algebra is a commutative algebra whose structure is decided by a skew-symmetrizable matrix or a quiver. When a skew-symmetrizable matrix is invariant under an action of a…
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…
Lagrangian fillings for Legendrian links of finite type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least seeds many exact embedded Lagrangian fillings for Legendrian links of type . We also provide seeds many Lagrangian fillings with cert…
Enumeration of Gelfand-Cetlin type reduced words
Yunhyung Cho, Jang Soo Kim, Eunjeong Lee
The combinatorics of reduced words and commutation classes plays an important role in geometric representation theory. A string polytope is a lattice polytope associated to each re…
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…