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math.AT2020★ 2 cited
Cellular chains on freehedra and operadic pairs
Daria Poliakova
The paper is devoted to explaining the operadic meaning of freehedra, a family of polytopes originally defined to study free loop spaces. We introduce the notion of operadic pairs…
math.AT2020
Homotopy characters as a homotopy limit
Sergey Arkhipov, Daria Poliakova
For a Hopf DG-algebra corresponding to a derived algebraic group, we compute the homotopy limit of the associated cosimplicial system of DG-algebras given by the classifying space…
math.AT2018
A note on a Holstein construction
Sergey Arkhipov, Daria Poliakova
We clarify details and fill certain gaps in the construction of a canonical Reedy fibrant resolution for a constant simplicial DG-category due to Holstein.