Two enriched poset polytopes
arXiv:2003.12271 · doi:10.1007/s00026-023-00679-7
Abstract
Stanley introduced and studied two lattice polytopes, the order polytope and chain polytope, associated to a finite poset. Recently Ohsugi and Tsuchiya introduce an enriched version of them, called the enriched order polytope and enriched chain polytope. In this paper, we give a piecewise-linear bijection between these enriched poset polytopes, which is an enriched analogue of Stanley's transfer map and bijectively proves that they have the same Ehrhart polynomials. Also we construct explicitly unimodular triangulations of two enriched poset polytopes.
27 pages, 3 figures
References in corpus (6)
- Real Root Conjecture fails for five and higher dimensional spheres
- Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann polytopes as marked poset polytopes
- Facets and volume of Gorenstein Fano polytopes
- Two poset polytopes are mutation-equivalent
- Enriched chain polytopes
- Enriched order polytopes and Enriched Hibi rings