@article{aac824e20e5c40a394b417f327f5bfd1,
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 Pfaffian sum form and are identified with the stable limits of fundamental classes of the Schubert varieties in torus equivariant connective K-theory of these isotropic Grassmannians. We also provide a combinatorial description of the ring formally spanned be the double Grothendieck polynomials.",
keywords = "Equivariant K-theory, Isotropic Grassmannians, Pfaffian, Schubert class",
author = "Thomas Hudson and Takeshi Ikeda and Tomoo Matsumura and Hiroshi Naruse",
note = "Funding Information: A considerable part of this work developed while the first and third authors were affiliated to KAIST, which they would like to thank for the excellent working conditions. A part of this work was developed while the first author was affiliated to POSTECH, which he would like to thank for the excellent working conditions. He would also like to gratefully acknowledge the support of the National Research Foundation of Korea (NRF) through the grants funded by the Korea government (MSIP) (2014-001824 and 2011-0030044). The second author is supported by Grant-in-Aid for Scientific Research (C) 18K03261, 15K04832. The third author is supported by Grant-in-Aid for Young Scientists (B) 16K17584. The fourth author is supported by Grant-in-Aid for Scientific Research (C) 25400041, (B) 16H03921. This research was conducted in the framework of the research training group GRK 2240: Algebro-Geometric Methods in Algebra, Arithmetic and Topology, which is funded by the DFG. Funding Information: A considerable part of this work developed while the first and third authors were affiliated to KAIST, which they would like to thank for the excellent working conditions. A part of this work was developed while the first author was affiliated to POSTECH, which he would like to thank for the excellent working conditions. He would also like to gratefully acknowledge the support of the National Research Foundation of Korea (NRF) through the grants funded by the Korea government ( MSIP ) ( 2014-001824 and 2011-0030044 ). The second author is supported by Grant-in-Aid for Scientific Research (C) 18K03261 , 15K04832 . The third author is supported by Grant-in-Aid for Young Scientists (B) 16K17584 . The fourth author is supported by Grant-in-Aid for Scientific Research (C) 25400041 , (B) 16H03921 . This research was conducted in the framework of the research training group GRK 2240: Algebro-Geometric Methods in Algebra, Arithmetic and Topology , which is funded by the DFG . Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = mar,
day = "15",
doi = "10.1016/j.jalgebra.2019.11.002",
language = "English",
volume = "546",
pages = "294--314",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}