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Mat. Zametki, 2019, Volume 105, Issue 4, Pages 526–536 (Mi mz11822)  

This article is cited in 2 scientific papers (total in 2 papers)

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

E. G. Zhuravleva

Lomonosov Moscow State University

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: Massey product, moment-angle complex, Pogorelov polytope, fullerenes.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-51-50005
Foundation for the Development of Theoretical Physics and Mathematics BASIS 18-2-6-15-1
This work was supported by the Russian Foundation for Basic Research under grant 18-51-50005 and by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” under grant 18-2-6-15-1.


DOI: https://doi.org/10.4213/mzm11822

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English version:
Mathematical Notes, 2019, 105:4, 519–527

Bibliographic databases:

UDC: 515.14+515.16
Received: 08.10.2017

Citation: E. G. Zhuravleva, “Massey Products in the Cohomology of the Moment-Angle Manifolds Corresponding to Pogorelov Polytopes”, Mat. Zametki, 105:4 (2019), 526–536; Math. Notes, 105:4 (2019), 519–527

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. Ivan Yu. Limonchenko, “On Higher Massey Products and Rational Formality for Moment–Angle Manifolds over Multiwedges”, Proc. Steklov Inst. Math., 305 (2019), 161–181  mathnet  crossref  crossref  isi  elib
  • Математические заметки Mathematical Notes
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