Ebook: Lectures on Field Theory and Topology
Author: Daniel S. Freed
- Genre: Mathematics // Mathematicsematical Physics
- Series: CBMS Regional Conference Series in Mathematics 133
- Year: 2019
- Publisher: AMS
- Language: English
- pdf
These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory.
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