• Corpus ID: 55317765

Conformal blocks for Galois covers of algebraic curves

@article{Hong2018ConformalBF,
  title={Conformal blocks for Galois covers of algebraic curves},
  author={Jiuzu Hong and Shrawan Kumar},
  journal={arXiv: Group Theory},
  year={2018}
}
We study the spaces of twisted conformal blocks attached to a $\Gamma$-curve $\Sigma$ with marked $\Gamma$-orbits and an action of $\Gamma$ on a simple Lie algebra $\mathfrak{g}$, where $\Gamma$ is a finite group. We prove that if $\Gamma$ stabilizes a Borel subalgebra of $\mathfrak{g}$, then Propagation Theorem and Factorization Theorem hold. We endow a projectively flat connection on the sheaf of twisted conformal blocks attached to a smooth family of pointed $\Gamma$-curves; in particular… 
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