G. Sardanashvily
Published 2002-03-20Version 1
These Lectures summarize the relevant material on existent applications of jet manifold techniques to classical and quantum field theory. The following topics are included: 1. Fibre bundles, 2. Jet manifolds, 3. Connections, 4. Lagrangian field theory, 5. Gauge theory of principal connections, 6. Higher order jets, 7. Infinite order jets, 8. The variational bicomplex, 9. Geometry of simple graded manifolds, 10. Jets of ghosts and antifields.
Talk on Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces
Algebraic approach to Quantum Field Theory
Mathematical definition of quantum field theory on a manifold
