Adams-Hilton models and higher Whitehead brackets for polyhedral products

DOI10.1134/S0081543822020055MaRDI QIDQ2095473

Elizaveta G. Zhuravleva

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://arxiv.org/abs/2112.10013

Mathematics Subject Classification ID

Quantum theory (81-XX) Algebraic topology (55-XX)

Cites Work

• On the chain algebra of a loop space
• On Davis-Januszkiewicz homotopy types I: formality and rationalisation
• Higher Whitehead products in moment-angle complexes and substitution of simplicial complexes
• Iterated higher Whitehead products in topology of moment-angle complexes
• Higher order Whitehead products
• Higher Samelson products
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• The homotopy types of moment-angle complexes for flag complexes
• Homotopy theory in toric topology
• On problems concerning moment-angle complexes and polyhedral products
• ON THE COBAR CONSTRUCTION
• HIGHER WHITEHEAD PRODUCTS
• Categorical aspects of toric topology
• Sullivan's Minimal Models and Higher Order Whitehead Products
• Hopf Algebras up to Homotopy
• Toric Topology
• One-relator groups and algebras related to polyhedral products

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