The Universal Coefficient Theorem and Quantum Field Theory

1. Introduction
Andrei-Tudor Patrascu

2. Elements of General Topology
Andrei-Tudor Patrascu

3. Algebraic Topology
Andrei-Tudor Patrascu

4. Homological Algebra
Andrei-Tudor Patrascu

5. Connections: Topology and Analysis
Andrei-Tudor Patrascu

6. The Atyiah Singer Index Theorem
Andrei-Tudor Patrascu

7. Universal Coefficient Theorems
Andrei-Tudor Patrascu

8. BV and BRST Quantization, Quantum Observables and Symmetry
Andrei-Tudor Patrascu

9. Universal Coefficient Theorem and Quantum Field Theory
Andrei-Tudor Patrascu

10. The Universal Coefficient Theorem and Black Holes
Andrei-Tudor Patrascu

11. From Grothendieck’s Schemes to QCD
Andrei-Tudor Patrascu

12. Conclusions
Andrei-Tudor Patrascu

Keywords: Physics, Quantum Field Theories, String Theory, Algebraic Topology, Mathematical Applications in the Physical Sciences, Elementary Particles, Quantum Field Theory