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arXiv · 1707.07365

Massey products in cohomology of moment-angle manifolds corresponding to Pogorelov polytopes

Elizaveta Zhuravleva
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Abstract

In this work we construct nontrivial Massey products in the cohomology of moment-angle manifolds corresponding to polytopes from the Pogorelov class. This class includes the dodecahedron and all fullerenes, i. e. simple 3-polytopes with only 5-gonal and 6-gonal facets. The existence of a nontrivial Massey product implies the nonformality of the space in the sense of rational homotopy theory.

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Elizaveta Zhuravleva. 2017-07-24. Massey products in cohomology of moment-angle manifolds corresponding to Pogorelov polytopes. https://arxiv.org/abs/1707.07365

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