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

Dennis Borisov; Kobi Kremnizer

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arXiv · 1803.02982

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

Dennis Borisov·Kobi Kremnizer

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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.

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Dennis Borisov, Kobi Kremnizer. 2019-11-10. Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry. https://arxiv.org/abs/1803.02982

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