Generalized B-Opers
Algebraic Geometry
2020-05-15 v2 Differential Geometry
Abstract
Opers were introduced by Beilinson-Drinfeld [arXiv:math.AG/0501398]. In [J. Math. Pures Appl. 82 (2003), 1-42] a higher rank analog was considered, where the successive quotients of the oper filtration are allowed to have higher rank. We dedicate this paper to introducing and studying generalized -opers (where "" stands for "bilinear"), obtained by endowing the underlying vector bundle with a bilinear form which is compatible with both the filtration and the connection. In particular, we study the structure of these -opers, by considering the relationship of these structures with jet bundles and with geometric structures on a Riemann surface.
Keywords
Cite
@article{arxiv.1911.11842,
title = {Generalized B-Opers},
author = {Indranil Biswas and Laura P. Schaposnik and Mengxue Yang},
journal= {arXiv preprint arXiv:1911.11842},
year = {2020}
}