FULLERENES, POLYTOPES AND TORIC TOPOLOGY

DOI10.1142/9789813226579_0002zbMath1414.52006arXiv1609.02949OpenAlexW2520516898MaRDI QIDQ4684318

Nikolai Erokhovets, Victor M. Buchstaber

Publication date: 28 September 2018

Published in: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02949

zbMATH Keywords

rigidityfullerenesmoment-angle manifold3-dimensional polytopes

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Compact groups of homeomorphisms (57S10)

Related Items (8)

Spectral clustering of combinatorial fullerene isomers based on their facet graph structure ⋮ Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face ⋮ 𝐵-rigidity of the property to be an almost Pogorelov polytope ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions ⋮ Massey products in the cohomology of the moment-angle manifolds corresponding to Pogorelov polytopes ⋮ Manifolds of isospectral arrow matrices ⋮ Cohomological rigidity of families of manifolds associated with ideal right-angled hyperbolic 3-polytopes

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