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