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math.AT2026
Iterated Whitehead products in the homotopy groups of polyhedral products
Taras Panov, Stephen Theriault, Fedor Vylegzhanin
We study structure within the homotopy groups of the Davis-Januszkiewicz space DJ(K) associated with a simplicial complex K. The inclusion of each vertex in K induces a map from th…
math.AT2026
A colimit decomposition for the loop homology of polyhedral products
Lewis Stanton, Fedor Vylegzhanin
We show that the loop homology algebras of polyhedral products of the form can be written as a colimit over the flagification of $\mat…