Infinite flags and Schubert polynomials

被引:0
|
作者
Anderson, David [1 ]
机构
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
关键词
CHERN CLASS FORMULAS;
D O I
10.1017/fms.2024.99
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched Schubert polynomials. We also construct an embedding of the type C flag variety and study the corresponding pullback map on (equivariant) cohomology rings.
引用
收藏
页数:27
相关论文
共 50 条
  • [1] FLAGS, SCHUBERT POLYNOMIALS, DEGENERACY LOCI, AND DETERMINANTAL FORMULAS
    FULTON, W
    DUKE MATHEMATICAL JOURNAL, 1992, 65 (03) : 381 - 420
  • [2] Schubert functors and Schubert polynomials
    Kraskiewicz, W
    Pragacz, P
    EUROPEAN JOURNAL OF COMBINATORICS, 2004, 25 (08) : 1327 - 1344
  • [3] SCHUBERT POLYNOMIALS
    LASCOUX, A
    SCHUTZENBERGER, MP
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 294 (13): : 447 - 450
  • [4] Bioriented flags and resolutions of Schubert varieties
    Cibotaru, Daniel
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (03) : 449 - 474
  • [5] Universal Schubert polynomials
    Fulton, W
    DUKE MATHEMATICAL JOURNAL, 1999, 96 (03) : 575 - 594
  • [6] Twisted Schubert polynomials
    Liu, Ricky Ini
    SELECTA MATHEMATICA-NEW SERIES, 2022, 28 (05):
  • [7] Twisted Schubert polynomials
    Ricky Ini Liu
    Selecta Mathematica, 2022, 28
  • [8] The skew Schubert polynomials
    Chen, WYC
    Yan, GG
    Yang, ALB
    EUROPEAN JOURNAL OF COMBINATORICS, 2004, 25 (08) : 1181 - 1196
  • [9] Rational Schubert polynomials
    Aker, Kursat
    Tutas, Nesrin
    TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (03) : 439 - 452
  • [10] Quantum Schubert polynomials
    Fomin, S
    Gelfand, S
    Postnikov, A
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 10 (03) : 565 - 596