Higher-dimensional Virasoro algebras
arXiv:2608.04965
Abstract
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 previous work). We also prove a local, universal form of the Grothendieck-Riemann-Roch theorem for families of d-dimensional complex varieties.
34 pages, 3 tables, 1 figure