Higher-dimensional Virasoro algebras
Algebraic Geometry
2026-08-05 v1 Mathematical Physics
Representation Theory
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.
Cite
@article{arxiv.2608.04965,
title = {Higher-dimensional Virasoro algebras},
author = {Zhengping Gui and Brian R. Williams},
journal= {arXiv preprint arXiv:2608.04965},
year = {2026}
}
Comments
34 pages, 3 tables, 1 figure