Geodesic
Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes
Matematičeskie zametki, Tome 105 (2019) no. 4, pp. 526-536.

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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, Pogorelov polytope, fullerenes.
Mots-clés : moment-angle complex 
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E. G. Zhuravleva. Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes. Matematičeskie zametki, Tome 105 (2019) no. 4, pp. 526-536. http://geodesic.mathdoc.fr/item/MZM_2019_105_4_a3/

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