27 citations · 139 across the 20 of their papers we have counts for
22 papers
Twisting of properads
Sergei Merkulov
We study Thomas Willwacher's twisting endofunctor tw in the category of dg properads P under the operad of (strongly homotopy) Lie algebras. It is proven that if P is a properad un…
From gravity to string topology
Sergei A. Merkulov
The chain gravity properad introduced earlier by the author acts on the cyclic Hochschild of any cyclic algebra equipped with a scalar product of degree . In particu…
Quantizations of Lie bialgebras, duality involution and oriented graph complexes
Sergei Merkulov, Marko Živković
We prove that the action of the Grothendieck-Teichmüller group on the genus completed properad of (homotopy) Lie bialgebras commutes with the reversing directions involution of the…
On deformation quantization of quadratic Poisson structures
Anton Khoroshkin, Sergei Merkulov
We study the deformation complex of the dg wheeled properad of -graded quadratic Poisson structures and prove that it is quasi-isomorphic to the even M. Kontsevich grap…
Gravity prop and moduli spaces
Sergei A. Merkulov
Let be the moduli space of algebraic curves of genus with marked points decomposed into the disjoint union of two sets of cardinalities and , a…
From deformation theory of wheeled props to classification of Kontsevich formality maps
Assar Andersson, Sergei Merkulov
We study homotopy theory of the wheeled prop controlling Poisson structures on arbitrary formal graded finite-dimensional manifolds and prove, in particular, that Grothendieck-Teic…