Central extensions by K2 and factorization line bundles
Download208_2021_2154_ReferencePDF.pdf (578.0Kb)
Publisher Policy
Publisher Policy
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Terms of use
Metadata
Show full item recordAbstract
Let X be a smooth, geometrically connected curve over a perfect field k. Given a connected, reductive group G, we prove that central extensions of G by the sheaf K2 on the big Zariski site of X, studied in Brylinski–Deligne [5], are equivalent to factorization line bundles on the Beilinson–Drinfeld affine Grassmannian GrG. Our result affirms a conjecture of Gaitsgory–Lysenko [13] and classifies factorization line bundles on GrG.
.
Date issued
2021-01Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer Berlin Heidelberg
Citation
Tao, J., Zhao, Y. Central extensions by K2 and factorization line bundles. Math. Ann. 381, 769–805 (2021)
Version: Author's final manuscript
ISSN
1432-1807
0025-5831