K-theoretic Gromov--Witten invariants in genus 0 and integrable   hierarchies
  We prove that the genus-0 invariants in K-theoretic Gromov--Witten theory are governed by an integrable hierarchy of hydrodynamic type. If the K-theoretic quantum product is semisimple, then we also prove the completeness of the hierarchy. 
Todor Milanov and Valentin Tonita
math.AG