THE DISCRETE FUNDAMENTAL GROUP OF THE ASSOCIAHEDRON, AND THE EXCHANGE MODULE

DOI10.1142/S0218196713400079zbMath1268.05239arXiv1012.2810MaRDI QIDQ2842018

Jacob A. White, Christopher Severs, Hélène Barcelo

Publication date: 30 July 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2810

zbMATH Keywords

cluster algebrasassociahedrondiscrete homotopy theory

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• The Laurent phenomenon
• The discrete fundamental group of the order complex of \(B_n\)
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• A type-B associahedron.
• Cluster algebras. II: Finite type classification
• \(Y\)-systems and generalized associahedra
• The associahedron and triangulations of the \(n\)-gon
• Coxeter complexes and graph-associahedra
• Moduli spaces of local systems and higher Teichmüller theory
• Homotopy theory of graphs
• Matroid basis graphs. I
• Cluster algebras I: Foundations
• GRASSMANNIANS AND CLUSTER ALGEBRAS
• On the self-linking of knots
• Foundations of a connectivity theory for simplicial complexes