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arXiv · 1809.07932

Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians

Thomas Hudson·Takeshi Ikeda·Tomoo Matsumura·Hiroshi Naruse
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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.

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Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura, Hiroshi Naruse. 2018-09-21. Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians. https://doi.org/10.1016/j.jalgebra.2019.11.002

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