75 citations · 241 across the 18 of their papers we have counts for
7 papers · 1 filter
The multiplicity of a singularity in a vexillary Schubert variety
David Anderson, Takeshi Ikeda, Minyoung Jeon +1
In a classical-type flag variety, we consider a Schubert variety associated to a vexillary (signed) permutation, and establish a combinatorial formula for the Hilbert-Samuel multip…
Peterson Isomorphism in -theory and Relativistic Toda Lattice
Takeshi Ikeda, Shinsuke Iwao, Toshiaki Maeno
The -homology ring of the affine Grassmannian of was studied by Lam, Schilling, and Shimozono. It is realized as a certain concrete Hopf subring of the ring of symmetr…
Pfaffian formula for -theory of odd orthogonal Grassmannians
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We prove a Pfaffain formula for the -theory class of the degeneracy loci in the bundle of odd maximal orthogonal Grassmannians.
Degeneracy Loci Classes in -theory - Determinantal and Pfaffian Formula -
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We prove a determinantal formula and Pfaffian formulas that respectively describe the -theoretic degeneracy loci classes for Grassmann bundles and for symplectic Grassmann and o…
Pfaffian sum formula for the symplectic Grassmannians
Takeshi Ikeda, Tomoo Matsumura
We study the torus equivariant Schubert classes of the Grassmannian of non-maximal isotropic subspaces in a symplectic vector space. We prove a formula that expresses each of those…
Excited Young diagrams and equivariant Schubert calculus
Takeshi Ikeda, Hiroshi Naruse
We describe the torus-equivariant cohomology ring of isotropic Grassmannians by using a localization map to the torus fixed points. We present two types of formulas for equivariant…