A conjectural Peterson isomorphism in K-theory

作者:Lam, Thomas; Li, Changzheng; Mihalcea, Leonardo C*; Shimozono, Mark
来源:Journal of Algebra, 2018, 513: 326-343.
DOI:10.1016/j.jalgebra.2018.07.029

摘要

We state a precise conjectural isomorphism between localizations of the equivariant quantum K-theory ring of a flag variety and the equivariant K-homology ring of the affine Grassmannian, in particular relating their Schubert bases and structure constants. This generalizes Peterson's isomorphism in (co)homology. We prove a formula for the Pontryagin structure constants in the K-homology ring, and we use it to check our conjecture in few situations. Published by Elsevier Inc.

  • 出版日期2018-11-1
  • 单位中山大学; Virginia Tech; 美国弗吉尼亚理工大学(Virginia Tech)