• Corpus ID: 233241201

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

  title={Compactifications of moduli of \$G\$-bundles and conformal blocks},
  author={Avery S. Wilson},
For a stable curve of genus g ≥ 2 and simple, simply connected group G, we show that sections of determinant of cohomology on the stack of G-bundles extend to the normalization of its closure in the stack of Schmitt’s honest singular G-bundles. We use this to show that the conformal blocks algebra A onMg is finitely generated and that closed fibers of ProjA → Mg can be interpreted as normalized moduli spaces of singular G-bundles. 


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  • V. Balaji
  • Mathematics
    Proceedings - Mathematical Sciences
  • 2022
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