Abstract
Functorial properties of the correspondence between commutative BV ∞-algebras and L∞-algebras are investigated. The category of L∞-algebras with L∞-morphisms is characterized as a certain category of pureBV ∞-algebras with pureBV ∞-morphisms. The functor assigning to a commutative BV ∞-algebra the L∞-algebra given by higher derived brackets is also shown to have a left adjoint. Cieliebak-Fukaya-Latschev’s machinery of IBL ∞- and BV ∞-morphisms is further developed with introducing the logarithm of a map.
Original language | English (US) |
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Pages (from-to) | 305-327 |
Number of pages | 23 |
Journal | Journal of Homotopy and Related Structures |
Volume | 12 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1 2017 |
Bibliographical note
Publisher Copyright:© 2016, Tbilisi Centre for Mathematical Sciences.
Keywords
- BV-algebra
- Derived brackets
- Homotopical algebra
- IBL-algebra
- L-algebra
- Master equation