• Corpus ID: 226236761

Higher Secondary Polytopes for Two-Dimensional Zonotopes.

@article{Bullock2020HigherSP,
  title={Higher Secondary Polytopes for Two-Dimensional Zonotopes.},
  author={Elisabeth Bullock and Katie Gravel},
  journal={arXiv: Combinatorics},
  year={2020}
}
Very recently, Galashin, Postnikov, and Williams introduced the notion of higher secondary polytopes, generalizing the secondary polytope of Gelfand, Kapranov, and Zelevinsky. Given an $n$-point configuration $\mathcal{A}$ in $\mathbb{R}^{d-1}$, they define a family of convex $(n-d)$-dimensional polytopes $\widehat{\Sigma}_{1}, \ldots, \widehat{\Sigma}_{n-d}$. The $1$-skeletons of this family of polytopes are the flip graphs of certain combinatorial configurations which generalize… 
52C40 Oriented matroids in discrete geometry 51M20 Polyhedra and polytopes; regular figures, division of spaces 05C10 Planar graphs; geometric and topological aspects of graph theory 05C15 Coloring of graphs and hypergraphs
  • Mathematics
  • 2021
Let π : R → R be any linear projection, let A be the image of the standard basis. Motivated by Postnikov’s study of postitive Grassmannians via plabic graphs and Galashin’s connection of plabic

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