# nLab Yi-Zhi Huang

## Selected writings

As algebras over the holomorphic punctured sphere operad

On the representation categories of (rational) vertex operator algebras as (modular) fusion categories:

• Yi-Zhi Huang, Vertex operator algebras, the Verlinde conjecture and modular tensor categories, Proc. Nat. Acad. Sci. 102 (2005) 5352-5356 $[$arXiv:math/0412261, doi:10.1073/pnas.0409901102$]$

• Yi-Zhi Huang, Rigidity and modularity of vertex tensor categories, Communications in Contemporary Mathematics 10 supp01 (2008) 871-911 $[$arXiv:math/0502533, doi:10.1142/S0219199708003083$]$

• Yi-Zhi Huang, James Lepowsky, Lin Zhang, Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules, In: Bai, Fuchs, Huang, Kong, Runkel, Schweigert (eds.), Conformal Field Theories and Tensor Categories Mathematical Lectures from Peking University. Springer (2014) $[$arXiv:1012.4193, doi:10.1007/978-3-642-39383-9_5$]$

Relation to 2d conformal field theory:

On vertex operator algebras, their associated modular tensor categories and a proof of the Verlinde formula:

For orbifolds:

category: people

Last revised on June 10, 2022 at 04:06:06. See the history of this page for a list of all contributions to it.