Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.
Matching polytopes, toric geometry, and the totally non-negative Grassmannian.J
2 Pith papers cite this work. Polarity classification is still indexing.
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Extends Muller-Speyer by constructing extremal matchings via height functions on almost perfect matchings of plabic graphs and proving coverage of all boundary conditions.
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Fence Complexes and Toric Degenerations of Positroid Varieties
Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.