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The totally nonnegative Grassmannian is a ball

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arxiv 1707.02010 v3 pith:ETGMGHNN submitted 2017-07-07 math.CO hep-thmath.GT

Pavel Galashin , Steven N. Karp , Thomas Lam This is my paper · ORCID
classification math.COhep-thmath.GT
keywords grassmanniannonnegativetotallyamplituhedronballballsclosedcombinatorics
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We prove that three spaces of importance in topological combinatorics are homeomorphic to closed balls: the totally nonnegative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhedron.

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  1. On the Boundaries of the m=2 Amplituhedron

    hep-th 2019-08 conditional novelty 6.0 of 10

    All boundaries of the m=2 amplituhedron A_{n,k}^{(2)} are classified, the boundary poset is Eulerian, and the Euler characteristic equals one.

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