Robert C. Gunning 
Lectures on Vector Bundles over Riemann Surfaces [PDF ebook] 

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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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About the author

Robert C. Gunning is professor emeritus of mathematics at Princeton University. His books include
Lectures on Riemann Surfaces and
An Introduction to Analysis (both Princeton).

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Language English ● Format PDF ● Pages 246 ● ISBN 9780691218212 ● File size 7.8 MB ● Publisher Princeton University Press ● City Princeton ● Country US ● Published 2020 ● Downloadable 24 months ● Currency EUR ● ID 7531823 ● Copy protection Adobe DRM
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