Shifted derived Poisson manifolds associated with Lie pairs
01 Pubblicazione su rivista
Bandiera Ruggero, Chen Zhuo, Stiénon Mathieu, Xu Ping
ISSN: 0010-3616
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.