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Russian Mathematical Surveys, 2019, Volume 74, Issue 6, Pages 1013–1074
DOI: https://doi.org/10.1070/RM9879 (Mi rm9879) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Cubillages of cyclic zonotopes

V. I. Danilova, A. V. Karzanova, G. A. Koshevoybc

a Central Institute of Economics and Mathematics, Russian Academy of Sciences
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
c National Research University Higher School of Economics
English version PDF (1038 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/RM9879
Abstract: 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.
Keywords: higher Bruhat orders, Tamari–Stasheff poset, polycategory, rhombus tiling, separated sets, purity.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
The research of the third author was supported by the Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, Russian Federation Government grant, Agreement no. 14.641.31.0001.
Received: 14.02.2019
Bibliographic databases:
Document Type: Article
UDC: 519.1+514.17
MSC: Primary 05B45; Secondary 05E10
Language: English
Original paper language: Russian
Citation: V. I. Danilov, A. V. Karzanov, G. A. Koshevoy, “Cubillages of cyclic zonotopes”, Russian Math. Surveys, 74:6 (2019), 1013–1074
Citation in format AMSBIB
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\by V.~I.~Danilov, A.~V.~Karzanov, G.~A.~Koshevoy
\paper Cubillages of cyclic zonotopes
\jour Russian Math. Surveys
\yr 2019
\vol 74
\issue 6
\pages 1013--1074
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:45
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