Parabolic SL(r)-opers

TL;DR

This paper introduces and studies SL(r)-opers on vector bundles with parabolic structures over curves, exploring their fundamental properties and setting a foundation for further research in this area.

Contribution

It defines SL(r)-opers in the context of parabolic vector bundles and investigates their basic properties, expanding the theory of opers to include parabolic structures.

Findings

Defined SL(r)-opers on parabolic vector bundles

Analyzed fundamental properties of these opers

Established groundwork for future research in parabolic opers

Abstract

We define SL(r)-opers in the set-up of vector bundles on curves with a parabolic structure over a divisor. Basic properties of these objects are investigated.