2 citations · 3 across the 7 of their papers we have counts for
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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…
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…
Anick's conjecture for polyhedral products
Lewis Stanton, Fedor Vylegzhanin
We develop a method for studying the pointed loop space of general polyhedral products, showing that many properties are determined by the moment-angle complex. To apply the method…
Loop homology of moment-angle complexes in the flag case
Fedor Vylegzhanin
We develop a general homological approach to presentations of connected graded associative algebras, and apply it to the loop homology of moment-angle complexes that correspo…
Pontryagin algebras and the LS-category of moment-angle complexes in the flag case
Fedor Vylegzhanin
For any flag simplicial complex , we describe the multigraded Poincare series, the minimal number of relations and the degrees of these relations in the Pontryagin algebra of th…