The homotopy theory of polyhedral products associated with flag complexes

DOI10.1112/S0010437X18007613zbMath1422.55019arXiv1709.00388OpenAlexW3103342641WikidataQ128888162 ScholiaQ128888162MaRDI QIDQ5227656

Stephen D. Theriault, Taras E.Panov

Publication date: 7 August 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00388

zbMATH Keywords

moment-angle complexpolyhedral productflag complex

Mathematics Subject Classification ID

Loop spaces (55P35) Combinatorial aspects of simplicial complexes (05E45)

Related Items

Homotopy of manifolds stabilized by projective spaces ⋮ Loop space decompositions of highly symmetric spaces with applications to polyhedral products ⋮ On the graph products of simplicial groups and connected Hopf algebras ⋮ Pontryagin algebras and the LS-category of moment-angle complexes in the flag case ⋮ Equivariant cohomology of moment-angle complexes with respect to coordinate subtori

Cites Work

• Unnamed Item
• Unnamed Item
• The homotopy type of the complement of a coordinate subspace arrangement
• The dual polyhedral product, cocategory and nilpotence
• Fat-wedge filtration and decomposition of polyhedral products
• Incidence matrices and interval graphs
• The homotopy type of the polyhedral product for shifted complexes
• Cogroups and suspensions
• 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
• Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
• On Spaces Having the Homotopy Type of a CW-Complex
• Rational homotopy of the polyhedral product functor
• Pull-Backs in Homotopy Theory
• Cup-products for the polyhedral product functor
• Toric Topology
• The Homotopy Groups of Wedges of Suspensions
• Introduction to homotopy theory