17 citations · 33 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Conformal blocks on smoothings via mode transition algebras
Chiara Damiolini, Angela Gibney, Daniel Krashen
Here we define a series of associative algebras attached to a vertex operator algebra , called mode transition algebras, showing they reflect both algebraic properties of an…
Factorization presentations
Chiara Damiolini, Angela Gibney, Daniel Krashen
Modules over a vertex operator algebra V give rise to sheaves of coinvariants on moduli of stable pointed curves. If V satisfies finiteness and semi-simplicity conditions, these sh…
On global generation of vector bundles on the moduli space of curves from representations of vertex operator algebras
Chiara Damiolini, Angela Gibney
We consider global generation of sheaves of coinvariants on the moduli space of curves given by simple modules over certain vertex operator algebras, extending results for affine V…
Vertex algebras of CohFT-type
Chiara Damiolini, Angela Gibney, Nicola Tarasca
Representations of certain vertex algebras, here called of CohFT-type, can be used to construct vector bundles of coinvariants and conformal blocks on moduli spaces of stable curve…
On factorization and vector bundles of conformal blocks from vertex algebras
Chiara Damiolini, Angela Gibney, Nicola Tarasca
Representations of vertex operator algebras define sheaves of coinvariants and conformal blocks on moduli of stable pointed curves. Assuming certain finiteness and semisimplicity c…
Conformal blocks from vertex algebras and their connections on
Chiara Damiolini, Angela Gibney, Nicola Tarasca
We show that coinvariants of modules over vertex operator algebras give rise to quasi-coherent sheaves on moduli of stable pointed curves. These generalize Verlinde bundles or vect…
Conformal blocks attached to twisted groups
Chiara Damiolini
The aim of this paper is to generalize the notion of conformal blocks to the situation in which the Lie algebra they are attached to is not defined over a field, but depends on cov…