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• W2746938774 abstract "We consider homotopy actions of a Lie algebroid on a graded manifold, defined as suitable $L_{infty}$-algebra morphisms. On the semi-direct product we construct a homological vector field that projects to the Lie algebroid. Our main theorem states that this construction is a bijection. Since several classical geometric structures can be described by homological vector fields as above, we can display many explicit examples, involving Lie algebroids (including extensions, representations up to homotopy and their cocycles) as well as transitive Courant algebroids." @default.
• W2746938774 created "2017-08-31" @default.
• W2746938774 creator A5060858260 @default.
• W2746938774 creator A5076550345 @default.
• W2746938774 date "2017-08-21" @default.
• W2746938774 modified "2023-09-27" @default.
• W2746938774 title "$L_{infty}$-actions of Lie algebroids" @default.
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