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Article Dans Une Revue Journal de l'École polytechnique — Mathématiques Année : 2015

Givental Action and Trivialisation of Circle Action

Vladimir Dotsenko
Sergey Shadrin
  • Fonction : Auteur
Bruno Vallette

Résumé

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.

Dates et versions

hal-00872464 , version 1 (13-10-2013)

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Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette. Givental Action and Trivialisation of Circle Action. Journal de l'École polytechnique — Mathématiques, 2015, ⟨10.5802/jep.23⟩. ⟨hal-00872464⟩
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