Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

DOI10.4310/HHA.2015.v17.n2.a8zbMath1342.13029arXiv1011.0094MaRDI QIDQ5963047

Martin Bendersky, Anthony Bahri, Samuel Gitler, Frederick R. Cohen

Publication date: 25 February 2016

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0094

zbMATH Keywords

join fan moment-angle complex moment-angle manifold non-singular toric variety polyhedral product quasitoric manifold simplicial wedge smooth toric variety toric manifold

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10) Singular homology and cohomology theory (55N10) Topological properties in algebraic geometry (14F45) Serre spectral sequences (55T10)

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