3 papers
math.RT2026
A Lie algebraic pattern behind logarithmic CFTs
Shoma Sugimoto, Hao Li
We introduce a purely Lie algebraic formalization of the Feigin--Tipunin's geometric construction of logarithmic CFTs/VOAs. After reformulating the geometric representation theory…
math.QA2026
Modular invariance of characters of quasi-lisse vertex algebras
Tomoyuki Arakawa, Jethro van Ekeren, Hao Li
We study spaces of conformal blocks associated with line bundles over elliptic curves, with coefficients in a vertex algebra. For vertex algebras satisfying suitable finiteness and…
math.AT2025
Representation characterization of equivariant geometric bordism
Hao Li, Zhi Lü, Bo Chen +2
Let . We establish a representation characterization determining when finitely many faithful -representations can serve as the fixed-point data of a smoot…