3 papers
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
Permutohedral complex and complements of diagonal subspace arrangements
Taras Panov, Vsevolod Tril
The complement of an arrangement of diagonal subspaces in the real space is defined by a simplicial complex . In this paper, we prove that the compl…
math.AT2025
Polyhedral products, graph products and p-central series
Taras Panov, Temurbek Rahmatullaev
We relate polyhedral products of topological spaces to graph products of groups. The loop homology algebras of polyhedral products are identified with the universal enveloping alge…