Central extensions of gauge groups revisited
- Cite this article as:
- Losev, A., Moore, G., Nekrasov, N. et al. Sel. math., New ser. (1998) 4: 117. doi:10.1007/s000290050026
We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension by the Picard variety Pic(X). The construction is easily adapted to the extension of Aut(E), the gauge group of automorphisms of a nontrivial vector bundle E.