Crystal approach to affine Schubert calculus

  title={Crystal approach to affine Schubert calculus},
  author={Jennifer Morse and Anne Schilling},
  journal={International Mathematics Research Notices},
Author(s): Morse, Jennifer; Schilling, Anne | Abstract: We apply crystal theory to affine Schubert calculus, Gromov-Witten invariants for the complete flag manifold, and the positroid stratification of the positive Grassmannian. We introduce operators on decompositions of elements in the type-$A$ affine Weyl group and produce a crystal reflecting the internal structure of the generalized Young modules whose Frobenius image is represented by stable Schubert polynomials. We apply the crystal… 

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