3 papers
math.AG2026
Conformal blocks in algebraic geometry
Chiara Damiolini
These notes survey the theory of (twisted) conformal blocks from an algebro-geometric perspective and have two main goals. The first one is to summarize the construction of conform…
math.QA2025
Modular functors from conformal blocks of rational vertex operator algebras
Chiara Damiolini, Lukas Woike
For a vertex operator algebra , one may naturally define spaces of conformal blocks following a construction of Frenkel-Ben-Zvi generalized by Damiolini-Gibney-Tarasca. If i…
math.RT2025
Morita equivalences for Zhu's algebra
Chiara Damiolini, Angela Gibney, Daniel Krashen
Through the introduction of new ideals, and with the assistance of the -th mode transition algebras , for , we show how Zhu's associative algebr…