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math.AG2026
Higher-dimensional Virasoro algebras
Zhengping Gui, Brian R. Williams
We classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured, formal d-disk for d > 2. (The d=2 case has appeared in previo…
math.AG2026
Two-dimensional Virasoro algebras
Zhengping Gui, Brian R. Williams
We classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured, formal 2-disk. We then prove a local and universal form of th…
math.AG2025
Holomorphic field theories and higher algebra
Owen Gwilliam, Brian R. Williams
Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogues of the rich interplay between Riemann surfaces, Virasoro and Kac-Moody Li…