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• W3099775229 abstract "We study a natural map from representations of a free group of rank g in GL(n,C), to holomorphic vector bundles of degree 0 over a compact Riemann surface X of genus g, associated with a Schottky uniformization of X. Maximally unstable flat bundles are shown to arise in this way. We give a necessary and sufficient condition for this map to be a submersion, when restricted to representations producing stable bundles. Using a generalized version of Riemann's bilinear relations, this condition is shown to be true on the subspace of unitary Schottky representations." @default.
• W3099775229 created "2020-11-23" @default.
• W3099775229 creator A5007653782 @default.
• W3099775229 date "2001-05-01" @default.
• W3099775229 modified "2023-09-27" @default.
• W3099775229 title "Schottky uniformization¶and vector bundles over Riemann surfaces" @default.
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• W3099775229 doi "https://doi.org/10.1007/pl00005874" @default.
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