Constructing the Virasoro groups using differential cohomology

Arun Debray, Yu Leon Liu, Christoph Weis

The Virasoro groups are a family of central extensions of ${\mathrm{Diff}}^{+}(S^1)$, the group of orientation-preserving diffeomorphisms of $S^1$, by the circle group $\mathbb{T}$. We…