4 papers
Mutation of Fano Simplices and Markov type equations
Yunhyung Cho
It is well known that there is a bijective correspondence between the set of positive integer solutions to the Markov equation and the set of Fano triangles mutation equivalent to…
Newton--Okounkov bodies of partial flag varieties via cluster algebras
Yunhyung Cho, Myungho Kim, Yoosik Kim +1
We construct Newton--Okounkov polytopes of Schubert varieties in partial flag varieties of arbitrary type using the cluster structure on a unipotent cell. When the governing cluste…
Cluster algebras and monotone Lagrangian tori
Yunhyung Cho, Myungho Kim, Yoosik Kim +1
Motivated by the construction of Newton--Okounkov bodies and toric degenerations via cluster algebras in [GHKK18, FO25], we consider a family of Newton--Okounkov polytopes of a com…
On combinatorics of string polytopes in types and
Yunhyung Cho, Naoki Fujita, Eunjeong Lee
A string polytope is a rational convex polytope whose lattice points parametrize a highest weight crystal basis, which is obtained from a string cone by explicit affine inequalitie…