S. Merkulov

activity

19982022

most citedFormality of canonical symplectic complexes and Frobenius manifolds

27 citations · 139 across the 20 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.QA2021★ 2 cited

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…

math.QA2021

On deformation quantization of quadratic Poisson structures

Anton Khoroshkin, Sergei Merkulov

We study the deformation complex of the dg wheeled properad of $Z$ -graded quadratic Poisson structures and prove that it is quasi-isomorphic to the even M. Kontsevich grap…

math.AG2021

Gravity prop and moduli spaces $M_{g, n}$

Sergei A. Merkulov

Let $M_{g, n}$ be the moduli space of algebraic curves of genus $g$ with $m + n$ marked points decomposed into the disjoint union of two sets of cardinalities $m$ and $n$ , a…

Quantizations of Lie bialgebras, duality involution and oriented graph complexes

On deformation quantization of quadratic Poisson structures

Gravity prop and moduli spaces Mg,n​

Gravity prop and moduli spaces $M_{g, n}$