Conformal Blocks: Vector bundle structures, Sewing, and Factorization

TL;DR

This paper discusses the complex-analytic approach to conformal blocks in rational vertex operator algebras, focusing on their vector bundle structures, sewing, and factorization properties.

Contribution

It provides an informal overview of the complex-analytic framework for conformal blocks, emphasizing their geometric and analytic aspects.

Findings

Elucidates the vector bundle structures of conformal blocks

Explores sewing and factorization properties in the complex-analytic setting

Offers insights into the geometric interpretation of conformal blocks

Abstract

This is an informal note on the complex-analytic approach to the theory of conformal blocks for rational VOAs. Its main body was completed in November 2020.