Polyhedral products for connected sums of simplicial complexes

DOI10.1134/S0081543822020080zbMath1505.55021OpenAlexW4313133924MaRDI QIDQ2095477

Stephen D. Theriault

Publication date: 17 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822020080

zbMATH Keywords

simplicial complexconnected sumfacetmoment-angle manifoldpolyhedral product

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Simplicial sets and complexes in algebraic topology (55U10)

Cites Work

• The homotopy type of the complement of a coordinate subspace arrangement
• Moment-angle complexes, monomial ideals and Massey products
• The loop space homotopy type of simply-connected four-manifolds and their generalizations
• The homotopy type of the polyhedral product for shifted complexes
• Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
• Moment-Angle Manifolds and Panov's Problem
• Adjacent Connected Sums and Torus Actions
• Pull-Backs in Homotopy Theory
• TORIC HOMOTOPY THEORY
• Polyhedral products and features of their homotopy theory
• Toric Topology

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