$L_{\infty}$-algebras of local observables from higher prequantum bundles
$L_{\infty}$-algebras of local observables from higher prequantum bundles
To any manifold equipped with a higher degree closed form, one can associate an L∞-algebra of local observables that generalizes the Poisson algebra of a symplectic manifold.Here, by means of an explicit homotopy equivalence, we interpret this L∞-algebra in terms of infinitesimal autoequivalences of higher prequantum bundles.By truncating the connection …