We study the shifted analogue of the “Lie–Poisson” construction for L∞ algebroids and we prove that any L∞ algebroid naturally gives rise to shifted derived Poisson manifolds. We also investigate derived Poisson structures from a purely algebraic perspective and, in particular, we establish a homotopy transfer theorem for derived Poisson algebras.
Shifted derived Poisson manifolds associated with Lie pairs / Bandiera, Ruggero; Chen, Zhuo; Stiénon, Mathieu; Xu, Ping. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - (2019). [10.1007/s00220-019-03457-w]
Shifted derived Poisson manifolds associated with Lie pairs
Bandiera, Ruggero;
2019
Abstract
We study the shifted analogue of the “Lie–Poisson” construction for L∞ algebroids and we prove that any L∞ algebroid naturally gives rise to shifted derived Poisson manifolds. We also investigate derived Poisson structures from a purely algebraic perspective and, in particular, we establish a homotopy transfer theorem for derived Poisson algebras.File allegati a questo prodotto
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