Cubillages of cyclic zonotopes

Cubillages of cyclic zonotopes

A survey is given of recent results on fine zonotopal tilings by cubes (briefly, cubillages) of cyclic zonotopes. The main interest of this theory is that it is interrelated with the theory of higher Bruhat orders, as well as with the parallel theory of triangulations of cyclic polytopes and Tamari-...

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Veröffentlicht in:Russian mathematical surveys 2019-12, Vol.74 (6), p.1013-1074
Hauptverfasser: Danilov, V. I., Karzanov, A. V., Koshevoy, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Cubes
Polytopes
Set theory
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Beschreibung
Zusammenfassung:A survey is given of recent results on fine zonotopal tilings by cubes (briefly, cubillages) of cyclic zonotopes. The main interest of this theory is that it is interrelated with the theory of higher Bruhat orders, as well as with the parallel theory of triangulations of cyclic polytopes and Tamari-Stasheff posets, used in investigations of the Kadomtsev- Petviashvili equations and higher Auslander-Reiten algebras. Bibliography: 35 titles.
ISSN:0036-0279
1468-4829
DOI:10.1070/RM9879