Associahedra

Some (mostly on-line) resources

Introductory papers:

• B. Casselman, Strange Associations.
• S. Fomin, N. Reading, Root systems and generalized assosiahedra.
• G. Ziegler, Lecture on the Associahedron.
• T. Davis, Catalan numbers.
• I. Pak, Who computed Catalan numbers.
• A. Barvinok, Combinatorics of polytopes. ----
• M. Haiman, Constructing the Associahedron, 1984.

Survey papers:

• V. Pilaud, F. Santos, G. Ziegler, Celebrating Loday's associahedron.
• J.-L. Loday, The multiple facets of the associahedron. ----
• Cesar Ceballos, Francisco Santos, Günter M. Ziegler, Many non-equivalent realizations of the associahedron. ----

More recent results:

• T. Manneville, V. Pilaud, Graph properties of graph associahedra. ----
• C. Hohlweg, C. Lange, H. Thomas, Permutohedra and generalised associahedra. ----
• F. Chapoton, S. Fomin, A. Zelevinsky, Polytopal Realizations of Generalized Associahedra. ----
• C. Ceballos, J.-Ph. Labbe, C. Stump, Subword complexes, cluster complexes and generalised multi-associahedra. ----
• S. L. Devadoss, A realisation of graph-associahedra.
• A. Postnikov, Permotohedra, associahedra, and beyond.
• Editors: F. Müller-Hoissen, J. Pallo and J. Stasheff, Associahedra, Tamari Lattices, and Related Structures.
• C. Ceballos, G. Ziegler Realizing the associahedron: mysteries and questions.

Introduction to cluster algebras:

• L. K. Williams, Cluster algebras: and introduction, ---- (see Section 2.1)
• S. Fomin, N. Reading, Root systems and generalized associahedra, ----

Webpages:

• Catalan numbers, ---- webpage by Igor Pak
• Associahedra and Noncrossing partitions, ---- webpage by Jon McCammond
• associahedron on nLab