Push-pull operators on convex polytopes
Algebraic Geometry
2021-01-01 v1 Representation Theory
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 of Newton-Okounkov polytopes of Bott-Samelson varieties. In particular, we construct a Minkowski sum of Feigin-Fourier-Littelmann-Vinberg polytopes using convex geometric push-pull operators in type A.
Cite
@article{arxiv.2012.15690,
title = {Push-pull operators on convex polytopes},
author = {Valentina Kiritchenko},
journal= {arXiv preprint arXiv:2012.15690},
year = {2021}
}
Comments
15 pages, 6 figures