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Полная версия
ЖУРНАЛЫ // Труды Московского математического общества // Архив

Тр. ММО, 2013, том 74, выпуск 2, страницы 247–264 (Mi mmo547)

Эта публикация цитируется в 1 статье

On problems concerning moment-angle complexes, and polyhedral products

A. Bahria, M. Benderskyb, F. R. Cohenc, S. Gitlerd

a Department of Mathematics, Rider University, Lawrenceville, USA
b Department of Mathematics CUNY, New York, NY USA
c Department of Mathematics, University of Rochester, USA
d Department of Mathematics, Cinvestav, San Pedro Zacatenco, Mexico

Аннотация: The main goal of this paper is to give a list of problems closely connected to moment-angle complexes, polyhedral products, and toric varieties. Another purpose is to exhibit the ubiquity and utility of these spaces which have been the subject of seminal work of Buchstaber–Panov [15], [16] as well as many others. References: 77 entries.

Ключевые слова и фразы: arrangements, cohomology ring, moment-angle complex, simplicial complex, simplicial sets, stable splittings, Stanley–Reisner ring, suspensions, toric varieties.

УДК: 514

MSC: Primary 13F55, 14F45, 32S22, 52C35, 55U10; Secondary 16E05, 57R19

Поступила в редакцию: 13.05.2013

Язык публикации: английский


 Англоязычная версия: Transactions of the Moscow Mathematical Society, 2013, 74, 203–216

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