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18 January 2022
 
  » arxiv » 2005.8446

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On the generalized SO(2n,C)-opers
Indranil Biswas ; Laura P. Schaposnik ; Mengxue Yang ;
Date 18 May 2020
AbstractSince 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 ${ m SO}(2n,mathbb{C})$, and show their close relationship with geometric structures on a Riemann surface.
Source arXiv, 2005.8446
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