75 citations · 278 across the 19 of their papers we have counts for
19 papers
Chevalley formulae for the motivic Chern classes of Schubert cells and for the stable envelopes
Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
We prove a Chevalley formula to multiply the motivic Chern classes of Schubert cells in a generalized flag manifold by the class of any line bundle . Our formu…
Hook formulae from Segre-MacPherson classes
Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
Nakada's colored hook formula is a vast generalization of many important formulae in combinatorics, such as the classical hook length formula and the Peterson's formula for the num…
Left Demazure-Lusztig operators on equivariant (quantum) cohomology and K theory
Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
We study the Demazure-Lusztig operators induced by the left multiplication on partial flag manifolds . We prove that they generate the Chern-Schwartz-MacPherson classes of Sch…
Darondeau-Pragacz formulas in complex cobordism
Masaki Nakagawa, Hiroshi Naruse
In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in the ordinary cohomology theory, which are due to Darondeau-Pragacz, to the complex cobordism theo…
Universal factorial Schur -functions and their duals
Masaki Nakagawa, Hiroshi Naruse
We define universal factorial Schur -functions and their duals, which specialize to generalized (co)-homology "Schubert basis" for loop spaces of the classical groups. We also…
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…