The totally nonnegative Grassmannian is a ball
| Autor: | Pavel Galashin, Steven N. Karp, Thomas Lam |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
05E45 14M15 15B48 52Bxx General Mathematics 010102 general mathematics 0211 other engineering and technologies Mathematics::General Topology FOS: Physical sciences 021107 urban & regional planning Geometric Topology (math.GT) 02 engineering and technology 01 natural sciences Mathematics - Geometric Topology Mathematics::Algebraic Geometry High Energy Physics - Theory (hep-th) FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) 0101 mathematics |
| DOI: | 10.48550/arxiv.1707.02010 |
| Popis: | 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. Comment: 19 pages. v2: Exposition improved in many places. v3: Final version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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