Central extensions by K2 and factorization line bundles
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Author(s)
Tao, James
Zhao, Yifei
Date Issued
January 2021
Publisher
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
Abstract
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.
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MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00208-021-02154-1
