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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     author = {E. G. Zhuravleva},
     title = {Massey {Products} in the {Cohomology} of the {Moment-Angle} {Manifolds} {Corresponding} to {Pogorelov} {Polytopes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {526--536},
     publisher = {mathdoc},
     volume = {105},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_4_a3/}
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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/