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Matematicheskie Zametki, 2019, Volume 105, Issue 4, Pages 526–536
DOI: https://doi.org/10.4213/mzm11822 (Mi mzm11822) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes

E. G. Zhuravleva

Lomonosov Moscow State University
Full-text PDF (528 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11822
Abstract: Nontrivial Massey products in the cohomology of the moment-angle manifolds corresponding to polytopes in the Pogorelov class are constructed. This class includes the dodecahedron and all fullerenes, i.e., simple 3-polytopes with only 5- and 6-gonal faces. The existence of nontrivial Massey products implies that the spaces under consideration are not formal in the sense of rational homotopy theory.
Keywords: Massey product, moment-angle complex, Pogorelov polytope, fullerenes.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-50005
Foundation for the Development of Theoretical Physics and Mathematics BASIS 18-2-6-15-1
This work was supported by the Russian Foundation for Basic Research under grant 18-51-50005 and by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” under grant 18-2-6-15-1.
Received: 08.10.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 4, Pages 519–527
DOI: https://doi.org/10.1134/S0001434619030246
Bibliographic databases:
Document Type: Article
UDC: 515.14+515.16
Language: Russian
Citation: E. G. Zhuravleva, “Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes”, Mat. Zametki, 105:4 (2019), 526–536; Math. Notes, 105:4 (2019), 519–527
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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