Substitutions of polytopes and of simplicial complexes, and multigraded betti numbers

DOI10.1090/S0077-1554-2014-00224-7zbMath1302.05214OpenAlexW1994770873MaRDI QIDQ2930856

Anton A. Ayzenberg

Publication date: 20 November 2014

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-2014-00224-7

zbMATH Keywords

graded Betti numberspolyhedral productsimplicial wedgeenumerating polynomialsgeneralized polyhedral joinpolarization of a homogeneous ideal.polyhedral joinsimplicial complex operad

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (7)

Torus actions of complexity one in non-general position ⋮ Abelian duality and propagation of resonance ⋮ Toric origami structures on quasitoric manifolds ⋮ Higher Whitehead products in moment-angle complexes and substitution of simplicial complexes ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Buchstaber invariant theory of simplicial complexes and convex polytopes ⋮ Shellability of polyhedral joins of simplicial complexes and its application to graph theory

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