68 citations · 280 across the 41 of their papers we have counts for
42 papers
Explicit description of certain 3-point K-theoretic Gromov-Witten invariants for flag manifolds
Satoshi Naito, Daisuke Sagaki
We give an explicit description, in terms of the quantum Bruhat graph, of the (torus-equivariant) 3-point, genus 0, -theoretic Gromov-Witten invariants $\langle \mathcal{O}(- λ)…
Quantum -theoretic divisor axiom for flag manifolds
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We prove an identity for (torus-equivariant) 3-point, genus 0, -theoretic Gromov-Witten invariants of flag manifolds , which can be thought of as a replacement for the ``di…
A presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , Part II: quantum double Grothendieck polynomials
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki
In our previous paper, we gave a presentation of the torus-equivariant quantum -theory ring of the (full) flag manifold of type as a quotie…
A presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , Part I: the defining ideal
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki
We give a presentation of the torus-equivariant quantum -theory ring of flag manifolds of type , as a quotient of a polynomial ring by an explicit ideal. This is the torus-eq…
Pieri-type multiplication formula for quantum Grothendieck polynomials
Satoshi Naito, Daisuke Sagaki
The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno. This formula would enable us…
Symmetric and Nonsymmetric Macdonald Polynomials via a Path Model with a Pseudo-crystal Structure
Cristian Lenart, Satoshi Naito, Fumihiko Nomoto +1
In this paper we derive a counterpart of the well-known Ram-Yip formula for symmetric and nonsymmetric Macdonald polynomials of arbitrary type. Our new formula is in terms of a gen…