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arXiv · 1410.6432

The BV formalism for L$_\infty$-algebras

Denis Bashkirov·Alexander A. Voronov
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Abstract

Functorial properties of the correspondence between commutative BV$_\infty$-algebras and L$_\infty$-algebras are investigated. The category of L$_\infty$-algebras with L$_\infty$-morphisms is characterized as a certain category of pure BV$_\infty$-algebras with pure BV$_\infty$-morphisms. The functor assigning to a commutative BV$_\infty$-algebra the L$_\infty$-algebra given by higher derived brackets is also shown to have a left adjoint. Cieliebak-Fukaya-Latschev's machinery of IBL$_\infty$- and BV$_\infty$-morphisms is further developed with introducing the logarithm of a map.

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Denis Bashkirov, Alexander A. Voronov. 2016-02-01. The BV formalism for L$_\infty$-algebras. https://doi.org/10.1007/s40062-016-0129-z

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