URN to cite this document: urn:nbn:de:bvb:703-opus-9694
Title data
Rambau, Jörg ; Reiner, Victor:
A survey of the higher Stasheff-Tamari orders.
Bayreuth
,
2012
|
|||||||||
Download (2MB)
|
Abstract
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.
Further data
Item Type: | Preprint, postprint |
---|---|
Additional notes (visible to public): | msc: 52C22; 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. |
Keywords: | Diskrete Geometrie; Higher Stasheff-Tamari poset; triangulation; cyclic polytope; higher Bruhat order; zonotopal tiling; cyclic zonotope |
DDC Subjects: | 500 Science > 510 Mathematics |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-opus-9694 |
Date Deposited: | 25 Apr 2014 06:36 |
Last Modified: | 28 Mar 2019 15:02 |
URI: | https://epub.uni-bayreuth.de/id/eprint/257 |