75 citations · 241 across the 18 of their papers we have counts for
18 papers
Closed -Schur Katalan functions as -homology Schubert representatives of the affine Grassmannian
Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito
Recently, Blasiak-Morse-Seelinger introduced symmetric functions called Katalan functions, and proved that the -theoretic -Schur functions due to Lam-Schilling-Shimozono form…
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…
Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We study the double Grothendieck polynomials of Kirillov--Naruse for the symplectic and odd orthogonal Grassmannians. These functions are explicitly written as sums of Pfaffian and…
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…