A survey of the higher Stasheff-Tamari orders
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.
| Institutes: | Mathematik |
|---|---|
| Author: | Jörg Rambau, Victor Reiner |
| Contributing Corporation: | University of Minnesota, USA |
| Year of Completion: | 2012 |
| SWD-Keyword: | Diskrete Geometrie |
| Tag: | Higher Stasheff-Tamari poset; cyclic polytope; cyclic zonotope; higher Bruhat order; triangulation; zonotopal tiling |
| Dewey Decimal Classification: | 510 Mathematik |
| MSC-Classification: | 52C22 Tilings in n dimensions [See also 05B45, 51M20] |
| URN: | urn:nbn:de:bvb:703-opus-9694 |
| Source: | Erscheint in: Müller-Hoissen, Folkert; Pallo, Jean Marcel; Stasheff, Jim (Eds.). Associahedra, Tamari Lattices and Related Structures, Tamari Memorial Festschrift, Series: Progress in Mathematics, Vol. 299. ISBN 978-3-0348-0404-2. Springer, 2012. |
| Document Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 13.03.2012 |





