Coxeter submodular functions and deformations of Coxeter permutahedra
Name
1904.11029.pdf
Description
Accepted version
Size
2.08 MB
Format
Unknown
Checksum (MD5)
593bcf9f8b6032627862c9eed42a5262
Author(s)
Ardila, Federico
Castillo, Federico
Eur, Christopher
Postnikov, Alexander
Date Issued
2020
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Author's final manuscript
Abstract
© 2020 Elsevier Inc. We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This class of polytopes contains important families such as weight polytopes, signed graphic zonotopes, Coxeter matroids, root cones, and Coxeter associahedra. Our description extends the known correspondence between generalized permutahedra, polymatroids, and submodular functions to any finite reflection group.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2020.107039
