Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6

By: Robert C. Gunning

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Paperback | 29 January 1968

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246 Pages

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These notes are based on a course of lectures given at Princeton University during the academic year 1966–1967. The topic is the analytic theory of complex vector bundles over compact Riemann surfaces. It begins with a general discussion of complex analytic vector bundles over compact Riemann surfaces from the point of view of sheaf theory. It goes on to discuss a descriptive classification of complex analytic vector bundles of rank 2 on a compact Riemann surface and follows with a discussion of flat vector bundles over compact Riemann surfaces. Two appendices cover some questions that arise.

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