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Global Calculus
About this Title
S. Ramanan, Chennai Mathematics Institute, Chennai, India
Publication: Graduate Studies in Mathematics
Publication Year:
2005; Volume 65
ISBNs: 978-0-8218-3702-3 (print); 978-1-4704-2107-6 (online)
DOI: https://doi.org/10.1090/gsm/065
MathSciNet review: MR2104612
MSC: Primary 58-01; Secondary 53-01, 58A05
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Sheaves and differential manifolds: Definitions and examples
- Chapter 2. Differential operators
- Chapter 3. Integration on differential manifolds
- Chapter 4. Cohomology of sheaves and applications
- Chapter 5. Connections on principal and vector bundles; Lifting of symbols
- Chapter 6. Linear connections
- Chapter 7. Manifolds with additional structures
- Chapter 8. Local analysis of elliptic operators
- Chapter 9. Vanishing theorems and applications
- Appendix