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Gauge theory on compact surfaces


About this Title

Ambar Sengupta

Publication: Memoirs of the American Mathematical Society
Publication Year 1997: Volume 126, Number 600
ISBNs: 978-0-8218-0484-1 (print); 978-1-4704-0185-6 (online)
DOI: http://dx.doi.org/10.1090/memo/0600
MathSciNet review: 1346931
MSC (1991): Primary 58D20; Secondary 81S20, 81T13

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Terminology and basic facts
  • 3. The structure of bundles and connections over compact surfaces
  • 4. Quantum gauge theory on the disk
  • 5. A conditional probability measure
  • 6. The Yang-Mills measure
  • 7. Invariants of systems of curves
  • 8. Loop expectation values I
  • 9. Some tools for the abelian case
  • 10. Loop expectation values II
  • Appendix