Positive tropical flags and the positive tropical Dressian

zbMath1520.14113arXiv2111.12587MaRDI QIDQ6103865

Jonathan Boretsky

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12587

zbMATH Keywords

flag varietiestotal positivitytropical varietiesDressian

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (2)

Tropical positivity and determinantal varieties ⋮ Flag matroids with coefficients

Cites Work

• Closure relations for totally nonnegative cells in \(G/P\)
• How to draw tropical planes
• Coxeter matroids. With illustrations by Anna Borovik
• Positive structures in Lie theory
• Tropical flag varieties
• The full Kostant-Toda hierarchy on the positive flag variety
• The tropical totally positive Grassmannians
• Network parametrizations for the Grassmannian
• The positive Dressian equals the positive tropical Grassmannian
• Compactification of the moduli space of hyperplane arrangements
• Tropical Linear Spaces
• Combinatorial Commutative Algebra
• The tropical Grassmannian
• Tropical geometry of statistical models
• Totally nonnegative Grassmannian and Grassmann polytopes
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