Lectures on Vector Bundles over Riemann Surfaces
1st Edition
Published on 11. February 2021
246 pages
978-0-691-21821-2 (ISBN)
Description
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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Robert C. Gunning
Lectures on Vector Bundles over Riemann Surfaces
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11/1967
Princeton University Press
€73.80
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Robert C. Gunning
Content
- Cover Page
- Title Page
- Copyright Page
- Contents
- §1. Analytic sheaves
- §2. Local structure of coherent analytic sheaves
- §3. Induced mappings of analytic sheaves
- §4. Riemann-Roch theorem
- §5. A classification of vector bundles of rank two
- §6. Flat vector bundles
- §7. Flat sheaves: geometric aspects
- §8. Flat sheaves: analytic aspects
- §9. Families of flat vector bundles
- Appendix- 1
- Appendix- 2
