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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… Click to show full 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.
Keywords:
manifolds corresponding;
cohomology moment;
products cohomology;
moment angle;
angle manifolds;
massey products
Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!