Description

Book Synopsis
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.


Table of Contents
  • Introduction
  • Bordism and topological field theories
  • Quantum mechanics
  • Wick-rotated quantum field theory and symmetry
  • Classification theorems
  • Extended locality
  • Invertibility and stable homotopy theory
  • Wick-rotated unitarity
  • Extended positivity and stable homotopy theory
  • Non-topological invertible field theories
  • Computations for electron systems
  • Anomalies in field theory
  • Review of categories
  • Bibliography
  • Index.

    Lectures on Field Theory and Topology

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      Order before 4pm tomorrow for delivery by Thu 25 Jun 2026.

      A Paperback by Daniel S. Freed

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        View other formats and editions of Lectures on Field Theory and Topology by Daniel S. Freed

        Publisher: MP-AMM American Mathematical
        Publication Date: 8/30/2019 12:00:00 AM
        ISBN13: 9781470452063, 978-1470452063
        ISBN10: 1470452065

        Description

        Book Synopsis
        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.


        Table of Contents
        • Introduction
        • Bordism and topological field theories
        • Quantum mechanics
        • Wick-rotated quantum field theory and symmetry
        • Classification theorems
        • Extended locality
        • Invertibility and stable homotopy theory
        • Wick-rotated unitarity
        • Extended positivity and stable homotopy theory
        • Non-topological invertible field theories
        • Computations for electron systems
        • Anomalies in field theory
        • Review of categories
        • Bibliography
        • Index.

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