Higher Whitehead products in moment-angle complexes and substitution of simplicial complexes

DOI10.1134/S0081543819030015zbMath1433.55003arXiv1901.07918OpenAlexW3101203314MaRDI QIDQ2285391

Taras E.Panov, Semyon A. Abramyan

Publication date: 8 January 2020

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

Full work available at URL: https://arxiv.org/abs/1901.07918

zbMATH Keywords

moment-angle complexeshigher Whitehead productssubstitution of simplicial complexes

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Coalgebras and comodules; corings (16T15) Whitehead products and generalizations (55Q15)

Related Items

Jacobi identity in polyhedral products ⋮ Brackets by any other name ⋮ Adams-Hilton models and higher Whitehead brackets for polyhedral products ⋮ Equivariant cohomology of moment-angle complexes with respect to coordinate subtori

Cites Work

• Unnamed Item
• Buchstaber invariant, minimal non-simplices and related
• Iterated higher Whitehead products in topology of moment-angle complexes
• The homology of simplicial complements and the cohomology of polyhedral products
• Decompositions of polyhedral products for shifted complexes
• Higher order Whitehead products
• Higher Samelson products
• Torus actions, combinatorial topology, and homological algebra
• The homotopy types of moment-angle complexes for flag complexes
• Homotopy theory in toric topology
• Geometric structures on moment-angle manifolds
• Substitutions of polytopes and of simplicial complexes, and multigraded betti numbers
• HIGHER WHITEHEAD PRODUCTS
• Categorical aspects of toric topology
• Cellular cochain algebras and torus actions
• Monomial Ideals
• Toric Topology
• Operations on polyhedral products and a new topological construction of infinite families of toric manifolds