Key points are not available for this paper at this time.
We study Schubert calculus in the torus-equivariant quantum K-ring of the Lagrangian Grassmannian LG (n). Our main tool is the K-theoretic Peterson map due to Kato. The map is from the (localized) equivariant K-homology ring K*^T (Gr₆) of the affine Grassmannian Gr₆ of the symplectic group G=Sp₂₍ (C) to the (localized) torus-equivariant quantum K-ring QKₓ (LG (n) ). We determine explicitly the kernel of this map.
Ikeda et al. (Tue,) studied this question.