Authors: Baralić, Đorđe 
Grbić, Jelena
Limochenko, Ivan 
Vučić, Aleksandar
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Toric Objects Associated with the Dodecahedron
Journal: Filomat
Volume: 34
Issue: 7
First page: 2329
Last page: 2356
Issue Date: 2020
Rank: M22
ISSN: 0354-5180
DOI: 10.2298/FIL2007329B
In this paper we illustrate a tight interplay between homotopy
theory and combinatorics within toric topology by explicitly calculating homotopy
and combinatorial invariants of toric objects associated with the dodecahedron.
In particular, we calculate the cohomology ring of the (complexand real) moment-angle manifolds over the dodecahedron, and of a certain quasitoric manifold and of a related small cover. We nish by studying Massey
products in the cohomology ring of moment-angle manifolds over the dodecahedron
and how the existence of nontrivial Massey products in uences the
behaviour of the Poincare series of the corresponding Pontryagin algebra
Publisher: Prirodno matematički fakultet, Univerzitet u Nišu

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