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

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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.

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  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    E. G. Zhuravleva

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  1. E. G. Zhuravleva
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Zhuravleva, E.G. Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes. Math Notes 105, 519–527 (2019). https://doi.org/10.1134/S0001434619030246

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  • DOI: https://doi.org/10.1134/S0001434619030246

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