Criterion for connections on principal bundles over a pointed Riemann surface

DOI10.1515/coma-2017-0010zbMath1386.53017OpenAlexW2753830065MaRDI QIDQ1684001

Indranil Biswas

Publication date: 4 December 2017

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2017-0010

zbMATH Keywords

filtrationprincipal bundleresidueholomorphic connection

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Other connections (53B15) Residues for several complex variables (32A27)

Related Items (1)

System of Hodge bundles and generalized opers on smooth projective varieties

Cites Work

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• Higgs bundles and local systems
• On holomorphic principal bundles over a compact Riemann surface admitting a flat connection
• Harder-Narasimhan reduction for principal bundles over a compact Kähler manifold
• Connections and Higgs fields on a principal bundle
• On the equivariant reduction of structure group of a principal bundle to a Levi subgroup
• Equations différentielles à points singuliers réguliers
• Complex Analytic Connections in Fibre Bundles
• Non-flat extension of flat vector bundles
• Logarithmic connections on principal bundles over a Riemann surface
• Krull-Schmidt Reduction for Principal Bundles

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