Comultiplication for shifted Yangians and quantum open Toda lattice

Michael Finkelberg, Joel Kamnitzer, Khoa Pham, Leonid Rybnikov, Alex Weekes

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl2. At the classical level this corresponds to the multiplication of scattering matrices of euclidean SU(2) monopoles. We also study coproducts for shifted Yangians for any simply-laced Lie algebra.

Original languageEnglish
Pages (from-to)349-389
Number of pages41
JournalAdvances in Mathematics
Publication statusPublished - 17 Mar 2018


  • Affine Grassmannian
  • Toda lattice
  • Yangians


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