On the generalized SO(2n,C)-opers

Indranil Biswas; Laura P. Schaposnik; Mengxue Yang

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arXiv · 2005.08446

On the generalized SO(2n,C)-opers

Indranil Biswas·Laura P. Schaposnik·Mengxue Yang

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Abstract

Since their introduction by Beilinson-Drinfeld \cite{BD,Opers1}, opers have seen several generalizations. In \cite{BSY} a higher rank analog was studied, named {generalized $B$-opers}, where the successive quotients of the oper filtration are allowed to have higher rank and the underlying holomorphic vector bundle is endowed with a bilinear form which is compatible with both the filtration and the oper connection. Since the definition didn't encompass the even orthogonal groups, we dedicate this paper to study generalized $B$-opers whose structure group is ${\rm SO}(2n,\mathbb{C})$, and show their close relationship with geometric structures on a Riemann surface.

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BibTeX RIS

Indranil Biswas, Laura P. Schaposnik, Mengxue Yang. 2020-05-18. On the generalized SO(2n,C)-opers. https://arxiv.org/abs/2005.08446

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