Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians
in differential geometry

We prove that for any k greater or equal to 2, given a smooth compact
k-dimensional manifold and a multiplicative k-1-gerbe on a Lie group, together
with an integrable connection, there is a line bundle on the corresponding
Beilinson-Drinfeld Grassmannian having the factorization property. We show that
taking global sections of this line bundle we obtain a factorization algebra.