18 citations · 57 across the 6 of their papers we have counts for
6 papers
The equivariant cohomology rings of Peterson varieties
Yukiko Fukukawa, Megumi Harada, Mikiya Masuda
The main result of this note is an efficient presentation of the -equivariant cohomology ring of Peterson varieties (in type ) as a quotient of a polynomial ring by an idea…
Counting generalized Dyck paths
Yukiko Fukukawa
The Catalan number has a lot of interpretations and one of them is the number of Dyck paths. A Dyck path is a lattice path from to which is below the diagonal line…
The graph cohomology ring of the GKM graph of a flag manifold of type
Yukiko Fukukawa
Suppose a compact torus acts on a closed smooth manifold . Under certain conditions, Guillemin and Zara associate to a labeled graph $\mG_M$ where the labels lie in…
The cohomology ring of the GKM graph of a flag manifold of classical type
Yukiko Fukukawa, Hiroaki Ishida, Mikiya Masuda
If a closed smooth manifold with an action of a torus satisfies certain conditions, then a labeled graph $\mG_M$ with labeling in is associated with , which en…
Topological toric manifolds
Hiroaki Ishida, Yukiko Fukukawa, Mikiya Masuda
We introduce the notion of a topological toric manifold and a topological fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-s…
Buchstaber invariants of skeleta of a simplex
Yukiko Fukukawa, Mikiya Masuda
A moment-angle complex is a compact topological space associated with a finite simplicial complex . It is realized as a subspace of a polydisk , where $…