The Universal Coefficient Theorem and Quantum Field Theory A Topological Guide for the Duality Seeker /

• Main Author: Patrascu, Andrei-Tudor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Mathematical physics.; Algebraic topology.; Quantum field theory.; String theory.; Elementary particles (Physics).; Quantum Field Theories, String Theory.; Algebraic Topology.; Mathematical Applications in the Physical Sciences.; Elementary Particles, Quantum Field Theory.

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest...

Table of Contents:

• Introduction
• Elements of General Topology
• Algebraic Topology
• Homological Algebra
• Connections: Topology and Analysis
• The Atyiah Singer Index Theorem
• Universal Coefficient Theorems
• BV and BRST Quantization, Quantum Observables and Symmetry
• Universal Coefficient Theorem and Quantum Field Theory
• The Universal Coefficient Theorem and Black Holes
• From Grothendieck’s Schemes to QCD
• Conclusions. .