K-Theoretic J-Functions of Type A Flag Varieties

被引：4
|
作者：
Taipale, K.
机构：
[1] not available, 1520 Sreet, Olaf Avenue, Northfield
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 16期
关键词：
QUANTUM COHOMOLOGY; TODA-LATTICES; MANIFOLDS; LOCALIZATION; QUOTIENTS;
D O I：
10.1093/imrn/rns156
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The J-function in Gromov-Witten theory is a generating function for one-point genus zero Gromov-Witten invariants with descendants. Here, we give formulas for the quantum K-theoretic J-functions of type A flag manifolds. As an application, we prove the quantum K-theoretic J-function version of the abelian-nonabelian correspondence for Grassmannians and products of projective space.
引用
收藏
页码：3647 / 3677
页数：31
相关论文
共 50 条
  • [1] K-theoretic Gromov-Witten invariants of line degrees on flag varieties
    Buch, Anders S.
    Chen, Linda
    Xu, Weihong
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2024, 39 (33):
  • [2] K-theoretic Catalan functions
    Blasiak, Jonah
    Morse, Jennifer
    Seelinger, George H.
    ADVANCES IN MATHEMATICS, 2022, 404
  • [3] K-theoretic Catalan functions
    Blasiak, Jonah
    Morse, Jennifer
    Seelinger, George H.
    ADVANCES IN MATHEMATICS, 2022, 404
  • [4] Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety
    Rimanyi, R.
    Tarasov, V.
    Varchenko, A.
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 94 : 81 - 119
  • [5] K-theoretic duality for shifts of finite type
    Kaminker, J
    Putnam, I
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 187 (03) : 509 - 522
  • [6] On the K-theoretic fundamental class of Deligne-Lusztig varieties
    Hudson, Thomas
    Peters, Dennis
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (08)
  • [7] K-Theoretic Duality for Shifts of Finite Type
    Jerome Kaminker
    Ian Putnam
    Communications in Mathematical Physics, 1997, 187 : 509 - 522
  • [8] Expanding K-theoretic Schur Q-functions
    Chiu, Yu-Cheng
    Marberg, Eric
    ALGEBRAIC COMBINATORICS, 2023, 6 (06): : 1419 - 1445
  • [9] K-theoretic Background
    Sujatha, R.
    Bloch-Kato Conjecture for the Riemann Zeta Function, 2015, 418 : 22 - 44
  • [10] DEFORMATION OF K-THEORETIC CYCLES
    Yang, Sen
    ASIAN JOURNAL OF MATHEMATICS, 2020, 24 (02) : 303 - 330
12345