In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<
G of a complex semisimple Lie group. For parabolic subgroups associated to “even …

Branched projective structures were introduced by Mandelbaum [,], and opers were
introduced by Beilinson and Drinfeld [,]. We define the branched analog of-opers and …

The goal of this paper is to describe the relationship between generalized B-opers,
generalized SO (2 n, C)-opers and (G, P)-opers. In particular, we show that to each …

We introduce the notion of generalized hyperpolygon, which arises as a representation, in
the sense of Nakajima, of a comet-shaped quiver. We identify these representations with …

We compute the infinitesimal deformations of quadruples of the form $$(X, S, E_*, D), $$
where $(X, S) $ is a compact Riemann surface with $ n $ marked points, $ E_* $ is a …

Abstract Parabolic SL (r, C)–opers were defined and investigated in [9] in the set-up of vector
bundles on curves with a parabolic structure over a divisor. Here we introduce and study …

Since their introduction by Beilinson–Drinfeld (Opers, 1993. arXiv math/0501398;
Quantization of Hitchin's integrable system and Hecke eigensheaves, 1991), opers have …

In this thesis we collect the results from three papers:“Generalized B-opers”,“On the
generalized SO (2n, C)-opers”, and “A comparison of generalized opers and (G, P)-opers” …

Since their introduction by Beilinson–Drinfeld (Opers, 1993. arXiv math/0501398;
Quantization of Hitchin's integrable system and Hecke eigensheaves, 1991), opers have …

Since their introduction by Beilinson-Drinfeld [BD1, BD2], opers have seen several
generalizations. In [BSY] a higher rank analog was studied, named generalized B-opers …