Email this article Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes
- Authors: Zhuravleva E.G.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 105, No 3-4 (2019)
- Pages: 519-527
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151655
- DOI: https://doi.org/10.1134/S0001434619030246
- ID: 151655
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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.
About the authors
E. G. Zhuravleva
Lomonosov Moscow State University
Author for correspondence.
Email: ahertip@gmail.com
Russian Federation, Moscow, 119991
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