# 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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