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Givental Action and Trivialisation of Circle Action by Dotsenko, Vladimir; Shadrin, Sergey; Vallette, Bruno is a scholarly article available to read on EtoBox.

What is Givental Action and Trivialisation of Circle Action about?

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 arises in the deformation theory of Batalin--Vilkovisky algebras. We prove that the Givental action is equal to an action of the trivialisations of the trivial circle action. This result relies on the equality of two Lie algebra actions coming from two apparently remote domains: geometry and homotopical algebra.

Author

Dotsenko, Vladimir; Shadrin, Sergey; Vallette, Bruno

Published

2013

Language

EN