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–Panov [15], [16] as well as many others. References: 77 entries.
Key words and phrases:
arrangements, cohomology ring, moment-angle complex, simplicial complex, simplicial sets, stable splittings, Stanley–Reisner ring, suspensions, toric varieties.
Citation:
A. Bahri, M. Bendersky, F. R. Cohen, S. Gitler, “On problems concerning moment-angle complexes, and polyhedral products”, Tr. Mosk. Mat. Obs., 74, no. 2, MCCME, M., 2013, 247–264; Trans. Moscow Math. Soc., 74 (2013), 203–216