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Working paper

Coherent IC-sheaves on type A_n affine Grassmannians and dual canonical basis of affine type A_1

Finkelberg M. V., Fujita R.
The convolution ring K^{GL_n(\OOO)⋊ℂ×}(Gr_{GL_n}) was identified with a quantum unipotent cell of the loop group LSL_2 in [Cautis-Williams, arXiv:1801.08111]. We identify the basis formed by the classes of irreducible equivariant perverse coherent sheaves with the dual canonical basis of the quantum unipotent cell.