Generalized permutahedra and positive flag Dressians
arXiv:2111.13676 · doi:10.1093/imrn/rnac349
Abstract
We study valuated matroids, their tropical incidence relations, flag matroids and total positivity. This leads to a characterization of permutahedral subdivisions, namely subdivisions of regular permutahedra into generalized permutahedra. Further, we get a characterization of those subdivisions arising from positive valuated flag matroids.
long version of extended abstract (FPSAC 2022, DMD 2022)