51 citations · 112 across the 25 of their papers we have counts for
27 papers
-structures in monoidal DG categories and strong homotopy unitality
Rina Anno, Sergey Arkhipov, Timothy Logvinenko
We define -structures -- algebras, coalgebras, modules, and comodules -- in an arbitrary monoidal DG category or bicategory by rewriting their definitions in terms of u…
Equivariant K-theory of the space of partial flags
Sergey Arkhipov, Mikhail Mazin
We use Drinfeld style generators and relations to define an algebra which is a ``'' version of the affine quantum group of We then use the…
From polytopes to operads and back
Sergey Arkhipov, Daria Poliakova
For a directed polytope, we construct a colored operad whose Poincare-Hilbert series encodes certain operations on the cellular complex of the polytope. We conjecture that for a cl…
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…
Equivariant sheaves on loop spaces
Sergey Arkhipov, Sebastian Ørsted
Let be an affine, smooth, and Noetherian scheme over acted on by an affine algebraic group . Applying the technique developed in Arkhipov and Ørsted (2018a, 201…
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.