A survey of the higher Stasheff-Tamari orders

Jörg Rambau, Victor Reiner

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


The Tamari lattice, thought as a poset on the set of triangulations of a convex polygon with n vertices, generalizes to the higher Stasheff-Tamari orders on the set of triangulations of a cyclic d-dimensional polytope having n vertices. This survey discusses what is known about these orders, and what one would like to know about them.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Number of pages40
StatePublished - 2012

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Bibliographical note

Publisher Copyright:
© Springer Basel 2012.


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