Matching polytopes, toric geometry, and the totally non-negative Grassmannian.

DOI10.1007/s10801-008-0160-1zbMath1264.20045arXiv0706.2501OpenAlexW1971607534MaRDI QIDQ835659

Alexander Postnikov, Lauren K. Williams, David E. Speyer

Publication date: 31 August 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2501

zbMATH Keywords

toric varieties matchings total positivity cluster algebras Birkhoff polytopes CW complexes Grassmanianns matroid polytopes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Real algebraic and real-analytic geometry (14P99) Polyhedral manifolds (52B70) Cluster algebras (13F60)

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Uses Software

polymake

Cites Work