Conformal Blocks: Vector bundle structures, Sewing, and Factorization
Quantum Algebra
2026-05-19 v1
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.
Cite
@article{arxiv.2605.17020,
title = {Conformal Blocks: Vector bundle structures, Sewing, and Factorization},
author = {Bin Gui},
journal= {arXiv preprint arXiv:2605.17020},
year = {2026}
}
Comments
Main body completed in Nov 2020 and intended as an informal note. A large part of its content was later adapted in works of the author and his collaborator, notably arXiv:2011.07450, 2110.04774, 2305.10180, 2411.07707. Readers should refer to these official works for formal mathematical treatments and references. This work was not polished and references are incomplete. Use at your own risk!