Homotopy theory in toric topology

DOI10.1070/RM9704zbMath1346.55014OpenAlexW2405707912MaRDI QIDQ2816814

Jelena Grbic, Stephen D. Theriault

Publication date: 25 August 2016

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9704

zbMATH Keywords

homotopy typemoment-angle complexpolyhedral productDavis-Januszkiewicz spacehigher Whitehead producthigher Samelson product

Mathematics Subject Classification ID

Homotopy theory (55P99) Algebraic topology of manifolds (57N65) Whitehead products and generalizations (55Q15)

Related Items (16)

Moment-angle manifolds and connected sums of simplicial spheres ⋮ Whitehead products in moment-angle complexes ⋮ Jacobi identity in polyhedral products ⋮ Topology of moment-angle manifolds arising from flag nestohedra ⋮ The homotopy type of the polyhedral product for shifted complexes ⋮ On the higher Whitehead product ⋮ On the higher order exterior and interior Whitehead products ⋮ Higher order Whitehead products and \(L_{\infty}\) structures on the homology of a DGL ⋮ A homotopy theoretical generalisation of the Bestvina-Brady construction ⋮ 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 ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ The homotopy theory of polyhedral products associated with flag complexes ⋮ Iterated higher Whitehead products in topology of moment-angle complexes ⋮ Adams-Hilton models and higher Whitehead brackets for polyhedral products ⋮ Equivariant cohomology of moment-angle complexes with respect to coordinate subtori

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