Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry
Differential Geometry
2019-11-12 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1803.02982,
title = {Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry},
author = {Dennis Borisov and Kobi Kremnizer},
journal= {arXiv preprint arXiv:1803.02982},
year = {2019}
}