Quantum Integrability and Generalised Quantum Schubert Calculus

Vasily Gorbunov, Christian Korff

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)
7 Downloads (Pure)


We introduce and study a new mathematical structure in the generalised (quantum) cohomology theory for Grassmannians. Namely, we relate the Schubert calculus to a quantum integrable system known in the physics literature as the asymmetric six-vertex model. Our approach offers a new perspective on already established and well-studied special cases, for example equivariant K-theory, and in addition allows us to formulate a conjecture on the so-far unknown case of quantum equivariant K-theory.
Original languageEnglish
Pages (from-to)282-356
Number of pages75
JournalAdvances in Mathematics
Early online date16 May 2017
Publication statusPublished - 20 Jun 2017


  • Quantum cohomology
  • Quantum K-theory
  • Enumerative combinatorics
  • Exactly solvable models
  • Bethe ansatz


Dive into the research topics of 'Quantum Integrability and Generalised Quantum Schubert Calculus'. Together they form a unique fingerprint.

Cite this