Double grothendieck polynomials for symplectic and odd orthogonal grassmannians

Thomas Hudson; Takeshi Ikeda; Tomoo Matsumura; Hiroshi Naruse

Double grothendieck polynomials for symplectic and odd orthogonal grassmannians

Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura, Hiroshi Naruse

Research output: Contribution to journal › Article › peer-review

Abstract

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 are identified with the stable limits of the fundamental classes of Schubert varieties in the torus equivariant connective K-theory of these isotropic Grassmannians. We also provide a combinatorial description of the ring formally spanned by double Grothendieck polynomials.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2018 Sep 20
Externally published	Yes

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title = "Double grothendieck polynomials for symplectic and odd orthogonal grassmannians",

abstract = "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 are identified with the stable limits of the fundamental classes of Schubert varieties in the torus equivariant connective K-theory of these isotropic Grassmannians. We also provide a combinatorial description of the ring formally spanned by double Grothendieck polynomials.",

author = "Thomas Hudson and Takeshi Ikeda and Tomoo Matsumura and Hiroshi Naruse",

year = "2018",

month = sep,

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language = "English",

journal = "Nuclear Physics A",

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AU - Hudson, Thomas

AU - Ikeda, Takeshi

AU - Matsumura, Tomoo

AU - Naruse, Hiroshi

PY - 2018/9/20

Y1 - 2018/9/20

N2 - 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 are identified with the stable limits of the fundamental classes of Schubert varieties in the torus equivariant connective K-theory of these isotropic Grassmannians. We also provide a combinatorial description of the ring formally spanned by double Grothendieck polynomials.

AB - 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 are identified with the stable limits of the fundamental classes of Schubert varieties in the torus equivariant connective K-theory of these isotropic Grassmannians. We also provide a combinatorial description of the ring formally spanned by double Grothendieck polynomials.

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JO - Nuclear Physics A

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