Compactifications of moduli of $G$-bundles and conformal blocks

Avery Wilson

Compactifications of moduli of $G$-bundles and conformal blocks

Algebraic Geometry 2022-07-13 v3

Authors: Avery Wilson

Abstract

For a stable curve of genus $g\geq 2$ and simple Lie algebra of type A or C, we show that the conformal blocks algebra $\mathcal{A}$ on $\overline{\mathcal{M}}_g$ is finitely generated and establish an explicit connection to Schmitt and Mu\~{n}oz-Casta\~{n}eda's compactification of the moduli space of $G$ -bundles.

Keywords

moduli of g-bundles conformal blocks compactification stable curve lie algebra moduli space

Cite

@article{arxiv.2104.07549,
  title  = {Compactifications of moduli of $G$-bundles and conformal blocks},
  author = {Avery Wilson},
  journal= {arXiv preprint arXiv:2104.07549},
  year   = {2022}
}

Comments

Corrected a major error in previous version. Results are now only for type A,C

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