Two-dimensional Virasoro algebras
Algebraic Geometry
2026-05-12 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
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 the Grothendieck--Rieman--Roch theorem for families of two-dimensional complex varieties.
Keywords
Cite
@article{arxiv.2605.10549,
title = {Two-dimensional Virasoro algebras},
author = {Zhengping Gui and Brian R. Williams},
journal= {arXiv preprint arXiv:2605.10549},
year = {2026}
}
Comments
32 pages, 3 figures. Comments are very welcome!