Lectures on Field Theory and Topology is popular PDF and ePub book, written by Daniel S. Freed in 2019-08-23, it is a fantastic choice for those who relish reading online the Algebraic topology genre. Let's immerse ourselves in this engaging Algebraic topology book by exploring the summary and details provided below. Remember, Lectures on Field Theory and Topology can be Read Online from any device for your convenience.
Lectures on Field Theory and Topology Book PDF Summary
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. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Detail Book of Lectures on Field Theory and Topology PDF
- Author : Daniel S. Freed
- Release : 23 August 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470452063
- Genre : Algebraic topology
- Total Page : 186 pages
- Language : English
- PDF File Size : 17,5 Mb
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