Simple geometric mitosis
Combinatorics
2023-01-03 v1 Algebraic Geometry
Abstract
We construct simple geometric operations on faces of the Cayley sum of two polytopes. These operations can be thought of as convex geometric counterparts of divided difference operators in Schubert calculus. We show that these operations give a uniform construction of Knutson-Miller mitosis (in type A) and (simplified) Fujita mitosis (in type C) on Kogan faces of Gelfand-Zetlin polytopes.
Cite
@article{arxiv.2301.00225,
title = {Simple geometric mitosis},
author = {Valentina Kiritchenko},
journal= {arXiv preprint arXiv:2301.00225},
year = {2023}
}
Comments
15 pages, 8 figures