Coupled connections on a compact Riemann surface

DOI10.1016/S0021-7824(02)00004-1zbMath1030.32017MaRDI QIDQ1406935

Indranil Biswas

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

compact Riemann surfaceGrassmann embeddingholomorphic connectionholomorphic differential operatorscoupled connection

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Holomorphic bundles and generalizations (32L05)

Related Items (8)

On the relative opers in dimension one ⋮ Generalized B-opers ⋮ Real slices of \(\mathrm{SL}(r,\mathbb{C})\)-opers ⋮ Vector bundles and connections on Riemann surfaces with projective structure ⋮ Opers and theta functions. ⋮ \((G,P)\)-opers and global Slodowy slices ⋮ On the generalized \(\mathrm{SO}(2n,\mathbb{C})\)-opers ⋮ A comparison of generalized opers and \((G, P)\)-opers

Cites Work

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• Differential operators on complex manifolds with a flat projective structure
• Invariants for a class of equivariant immersions of the universal cover of a compact Riemann surface into a projective space
• Differential geometry of higher order
• Complex Analytic Connections in Fibre Bundles
• Curves in Grassmannians

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