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Some examples of quantum groups in higher genus

B. Enriquez·V. Rubtsov
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Abstract

This is a survey of our construction of current algebras, associated with complex curves and rational differentials. We also study in detail two classes of examples. The first is the case of a rational curve with differentials $z^n dz$; these algebras are ``building blocks'' for the quantum current algebras introduced in our earlier work. The second is the case of a genus $>1$ curve $X$, endowed with a regular differential having only double zeroes.

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B. Enriquez, V. Rubtsov. 1998-05-14. Some examples of quantum groups in higher genus. https://arxiv.org/abs/math/9801037

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