Higher-dimensional Virasoro algebras

Zhengping Gui; Brian R. Williams

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arXiv · 2608.04965

Higher-dimensional Virasoro algebras

Zhengping Gui·Brian R. Williams

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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.

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Zhengping Gui, Brian R. Williams. 2026-08-05. Higher-dimensional Virasoro algebras. https://arxiv.org/abs/2608.04965

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