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

被引：4

作者：

Zhuravleva, E. G. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

MATHEMATICAL NOTES | 2019年 / 105卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

Massey product; moment-angle complex; Pogorelov polytope; fullerenes;

D O I：

10.1134/S0001434619030246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：519 / 527

页数：9

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