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- Narasimhan–Seshadri_theorem abstract "In mathematics, the Narasimhan–Seshadri theorem, proved by Narasimhan and Seshadri (1965), says that any holomorphic vector bundle over a Riemann surface is stable if and only if it comes from an irreducible projective unitary representation of the fundamental group.The main case to understand is that of topologically trivial bundles, i.e. those of degree zero (and the other cases are a minor technical extension of this case). This case of the Narasimhan–Seshadri theorem says that a degree zero holomorphic vector bundle over a Riemann surface is stable if and only if it comes from an irreducible unitary representation of the fundamental group of the Riemann surface.Donaldson (1983) gave another proof using differential geometry, and showed that the stable vector bundles have an essentially unique unitary connection of constant (scalar) curvature.In the degree zero case, Donaldson's version of the theorem says that a degree zero holomorphic vector bundle over a Riemann surface is stable if and only if it admits a flat unitary connection compatible with its holomorphic structure. Then the fundamental group representation appearing in the original statement is just the monodromy representation of this flat unitary connection.".
- Narasimhan–Seshadri_theorem wikiPageExternalLink 1214437664.
- Narasimhan–Seshadri_theorem wikiPageID "35098864".
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- Narasimhan–Seshadri_theorem wikiPageOutDegree "17".
- Narasimhan–Seshadri_theorem wikiPageRevisionID "637655949".
- Narasimhan–Seshadri_theorem wikiPageWikiLink Annals_of_Mathematics.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Category:Riemann_surfaces.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Category:Theorems_in_analysis.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Curvature.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Differential_geometry.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Fundamental_group.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Mathematics.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Riemann_surface.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Simple_module.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Stable_bundle.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Stable_vector_bundle.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Unitary_representation.
- Narasimhan–Seshadri_theorem wikiPageWikiLink Vector_bundle.
- Narasimhan–Seshadri_theorem wikiPageWikiLinkText "Narasimhan–Seshadri theorem".
- Narasimhan–Seshadri_theorem author1Link "M. S. Narasimhan".
- Narasimhan–Seshadri_theorem author2Link "C. S. Seshadri".
- Narasimhan–Seshadri_theorem hasPhotoCollection Narasimhan–Seshadri_theorem.
- Narasimhan–Seshadri_theorem last "Narasimhan".
- Narasimhan–Seshadri_theorem last "Seshadri".
- Narasimhan–Seshadri_theorem wikiPageUsesTemplate Template:Citation.
- Narasimhan–Seshadri_theorem wikiPageUsesTemplate Template:Harvs.
- Narasimhan–Seshadri_theorem year "1965".
- Narasimhan–Seshadri_theorem subject Category:Riemann_surfaces.
- Narasimhan–Seshadri_theorem subject Category:Theorems_in_analysis.
- Narasimhan–Seshadri_theorem comment "In mathematics, the Narasimhan–Seshadri theorem, proved by Narasimhan and Seshadri (1965), says that any holomorphic vector bundle over a Riemann surface is stable if and only if it comes from an irreducible projective unitary representation of the fundamental group.The main case to understand is that of topologically trivial bundles, i.e. those of degree zero (and the other cases are a minor technical extension of this case).".
- Narasimhan–Seshadri_theorem label "Narasimhan–Seshadri theorem".
- Narasimhan–Seshadri_theorem sameAs m.0j65hqc.
- Narasimhan–Seshadri_theorem sameAs Q17099286.
- Narasimhan–Seshadri_theorem sameAs Q17099286.
- Narasimhan–Seshadri_theorem wasDerivedFrom Narasimhan–Seshadri_theorem?oldid=637655949.
- Narasimhan–Seshadri_theorem isPrimaryTopicOf Narasimhan–Seshadri_theorem.