The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
1. Introduction
2. Background on Coxeter and Artin groups
3. Subword complexes
4. Noncrossing partitions
5. Cluster complexes
6. Sortable elements
7. Positive $m$-eralized structures
8. Conjectures on rational structures
9. $m$-eralized structures in representation theory
Christian Stump, Ruhr-Universitat Bochum, Germany.
Hugh Thomas, Universite du Quebec a Montreal, Quebec, Canada.
Nathan Williams, University of Texas at Dallas, Texas.
