Push–Pull Operators on Convex Polytopes
Push–Pull Operators on Convex Polytopes
Abstract A classical result of Schubert calculus is an inductive description of Schubert cycles using divided difference (or push–pull) operators in Chow rings. We define convex geometric analogs of push–pull operators and describe their applications to the theory of Newton–Okounkov convex bodies. Convex geometric push–pull operators yield an inductive construction …