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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
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.
Received: 08.10.2017
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
Linking options:
https://www.mathnet.ru/eng/mzm11822https://doi.org/10.4213/mzm11822 https://www.mathnet.ru/eng/mzm/v105/i4/p526
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Abstract page: | 307 | Full-text PDF : | 20 | References: | 44 | First page: | 18 |
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