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A survey of the higher Stasheff-Tamari orders

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

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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

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