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Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

   
 

 

On problems concerning moment-angle complexes and polyhedral products


Authors: A. Bahri, M. Bendersky, F. R. Cohen and S. Gitler
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 74 (2013), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2013, 203-216
MSC (2010): Primary 13F55, 14F45, 32S22, 52C35, 55U10; Secondary 16E05, 57R19
Published electronically: April 9, 2014
MathSciNet review: 3235796
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Abstract: 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 and Panov as well as many others.


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Additional Information

A. Bahri
Affiliation: Department of Mathematics, Rider University, Lawrenceville, New Jersey
Email: bahri@rider.edu

M. Bendersky
Affiliation: Department of Mathematics, CUNY, New York, New York
Email: mbenders@xena.hunter.cuny.edu

F. R. Cohen
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York
Email: cohf@math.rochester.edu

S. Gitler
Affiliation: Department of Mathematics, Cinvestav, San Pedro Zacatenco, Mexico
Email: sgitler@math.cinvestav.mx

DOI: http://dx.doi.org/10.1090/S0077-1554-2014-00215-6
Keywords: Arrangements, cohomology ring, moment-angle complex, simplicial complex, simplicial sets, stable splittings, Stanley--Reisner ring, suspensions, toric varieties
Published electronically: April 9, 2014
Additional Notes: The first author was supported in part by the award of a Rider University Research Leave and Research Fellowship and grant number 210386 from the Simons Foundation
The third author thanks the Department of Mathematics at the University of Pennsylvania for partial support as well as for a fertile environment during the Fall of 2010. He was partially supported by DARPA grant number 2006-06918-01 during the preparation of this paper
The fourth author received support from CONACYT, Mexico
Dedicated: It is a pleasure for the authors to congratulate Vitya Buchstaber on this occasion of his 70th birthday
Article copyright: © Copyright 2014 A. Bahri, M. Bendersky, F. R. Cohen, S. Gitler