Geometric interpretation of quantizations in quantum K-theory

Characterize the geometric interpretations of the quantizations of classical operators arising in the quantum K-theory of cotangent bundles of flag manifolds.

Background

The introduction discusses results on the quantum K-theory of cotangent bundles formulated through quantizations of classical operators. It notes that explicit calculations of K-theoretic Gromov–Witten invariants are difficult, leaving the geometric meaning of these quantizations unresolved. The paper pursues a related but different route for the quantum K-theory of Grassmannians, using the quantum=classical principle to obtain geometric interpretations of Yang–Baxter-algebra operators; it does not resolve the broader issue for cotangent bundles of flag manifolds.