# Branched SL(r,C)-opers

@inproceedings{Biswas2021BranchedS, title={Branched SL(r,C)-opers}, author={Indranil Biswas and Sorin Dumitrescu and Sebastian Heller}, year={2021} }

Branched projective structures were introduced by Mandelbaum [21], [22], and opers were introduced by Beilinson and Drinfeld [2], [3]. We define the branched analog of SL(r,C)–opers and investigate their properties. For the usual SL(r,C)–opers, the underlying holomorphic vector bundle is independent of the opers. For the branched SL(r,C)–opers, the underlying holomorphic vector bundle actually depends on the oper. Given a branched SL(r,C)–oper, we associate to it another holomorphic vector… Expand

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