Branched SL(r, ℂ)-Opers
From MaRDI portal
Publication:6101100
DOI10.1093/IMRN/RNAC090zbMATH Open1527.32014arXiv2109.07685OpenAlexW4220833460MaRDI QIDQ6101100
Indranil Biswas, Sorin Dumitrescu, Sebastian Heller
Publication date: 31 May 2023
Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)
Abstract: We define the branched analog of SL(r,C)-opers and investigate their properties. For the usual SL(r,C)-opers, the underlying holomorphic vector bundle is independent of the opers. For the branched SL(r,C)-opers, the underlying holomorphic vector bundle depends on the oper. Given a branched SL(r,C)-oper, we associate to it another holomorphic vector bundle equipped with a logarithmic connection. This holomorphic vector bundle does not depend on the branched oper. We characterize the branched SL(r,C)-opers in terms of the logarithmic connections on this fixed holomorphic vector bundle.
Full work available at URL: https://arxiv.org/abs/2109.07685
Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vector bundles on curves and their moduli (14H60)
Related Items (2)
Branched projective structures, branched \(\mathrm{SO}(3,\mathbb{C})\)-opers and logarithmic connections on jet bundle ⋮ Moduli spaces of marked branched projective structures on surfaces
This page was built for publication: Branched SL(r, ℂ)-Opers
