160 citations · 1.4k across the 97 of their papers we have counts for
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Hidden structures behind ambient symmetries of the Maurer-Cartan equation
Vladimir Dotsenko, Sergey Shadrin
For every differential graded Lie algebra one can define two different group actions on the Maurer-Cartan elements: the ubiquitous gauge action and the action of $\m…
Maurer-Cartan methods in deformation theory: the twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment o…
The twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This paper provides a conceptual study of the twisting procedure, which amounts to create functorially new differential graded Lie algebras, associative algebras or operads (as wel…
Pre-Lie deformation theory
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we develop the deformation theory controlled by pre-Lie algebras; the main tool is a new integration theory for pre-Lie algebras. The main field of application lies…
Givental Action and Trivialisation of Circle Action
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we show that the Givental group action on genus zero cohomological field theories, also known as formal Frobenius manifolds or hypercommutative algebras, naturally a…
Givental group action on Topological Field Theories and homotopy Batalin--Vilkovisky algebras
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we initiate the study of the Givental group action on Cohomological Field Theories in terms of homotopical algebra. More precisely, we show that the stabilisers of T…
Tautological relations in Hodge field theory
A. Losev, S. Shadrin, I. Shneiberg
We propose a Hodge field theory construction that captures algebraic properties of the reduction of Zwiebach invariants to Gromov-Witten invariants. It generalizes the Barannikov-K…
A definition of descendants at one point in graph calculus
Sergei Shadrin
We study the genus expansion of Barannikov-Kontsevich solutions of the WDVV equation. In terms of the related graph calculus we give a definition of descendants at one point and pr…
From Zwiebach invariants to Getzler relation
A. Losev, S. Shadrin
We introduce the notion of Zwiebach invariants that generalize Gromov-Witten invariants and homotopical algebra structures. We outline the induction procedure that induces the stru…