Generalized B-opers
I Biswas, LP Schaposnik, M Yang - SIGMA. Symmetry, Integrability and …, 2020 - emis.de
… In particular, we study the structure of these $ B $-opers, by considering the relationship
of these structures with jet bundles and with geometric structures on a Riemann surface. …
of these structures with jet bundles and with geometric structures on a Riemann surface. …
Generalized Opers
M Yang - 2022 - search.proquest.com
… our study of generalized opers. We then introduce generalized B-opers and show that they
… We also find that generalized B-opers give rise to stable Higgs bundles in a way similar to …
… We also find that generalized B-opers give rise to stable Higgs bundles in a way similar to …
A comparison of generalized opers and (G, P)-opers
M Yang - Indian Journal of Pure and Applied Mathematics, 2022 - Springer
… generalized B-opers, generalized \(\mathrm {SO}(2n,{\mathbb {C}})\)-opers and (G, P)-opers.
In particular, we show that to each generalized B-… do not arise as generalized B-opers or \(\…
In particular, we show that to each generalized B-… do not arise as generalized B-opers or \(\…
On the generalized -opers
I Biswas, LP Schaposnik, M Yang - Annals of global analysis and geometry, 2021 - Springer
… higher rank analog was studied, named generalized B-opers, where the successive quotients
of … groups, we dedicate this paper to study generalized B-opers whose structure group is \(\…
of … groups, we dedicate this paper to study generalized B-opers whose structure group is \(\…
On the generalized SO (2n, C)-opers
B Indranil, LP Schaposnik… - Annals of Global Analysis …, 2021 - search.proquest.com
… rank analog was studied, named generalized B-opers, where the successive quotients of …
groups, we dedicate this paper to study generalized B-opers whose structure group is SO(2n…
groups, we dedicate this paper to study generalized B-opers whose structure group is SO(2n…
[PDF][PDF] On the generalized -opers
I Biswas, LP Schaposnik, M Yang - Annals of Global Analysis and …, 2021 - par.nsf.gov
… In [BSY] a higher rank analog was studied, named generalized Bopers, where the … groups,
we dedicate this paper to study generalized B-opers whose structure group is SO(2n, C), and …
we dedicate this paper to study generalized B-opers whose structure group is SO(2n, C), and …
Branched SL(r, ℂ)-Opers
I Biswas, S Dumitrescu, S Heller - International Mathematics …, 2023 - academic.oup.com
Branched projective structures were introduced by Mandelbaum [ 22 , 23 ], and opers were
introduced by Beilinson and Drinfeld [ 2 , 3 ]. We define the branched analog of ${\textrm SL}(r…
introduced by Beilinson and Drinfeld [ 2 , 3 ]. We define the branched analog of ${\textrm SL}(r…
(G, P)-opers and global Slodowy slices
B Collier, A Sanders - Advances in Mathematics, 2021 - Elsevier
… For G = SL n C , the space of B-opers and the Hitchin section are each a closed stratum of
natural stratifications introduced by Simpson [38]. Moreover, under a smoothness assumption, …
natural stratifications introduced by Simpson [38]. Moreover, under a smoothness assumption, …
Conformal limits in Cayley components and -positive opers
G Kydonakis, M Yang - arXiv preprint arXiv:2408.06198, 2024 - arxiv.org
… Generalized opers. Here we include a short description of the generalized B-opers of [6]. In
some cases they give an explicit vector bundle formulation for the Θ-positive opers, when the …
some cases they give an explicit vector bundle formulation for the Θ-positive opers, when the …
Infinitesimal deformations of parabolic connections and parabolic opers
I Biswas, S Dumitrescu, S Heller, C Pauly - arXiv preprint arXiv …, 2022 - arxiv.org
… If λ1, ··· , λr are the generalized eigenvalues of Res(DV , xi) with multiplicity, where r = rank(V
), then the generalized eigenvalues of the local monodromy of D around xi are …
), then the generalized eigenvalues of the local monodromy of D around xi are …