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Lectures on field theory and topology

Author: Daniel S Freed; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.)
Publisher: Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2019 ©2019
Series: Regional conference series in mathematics, no. 133.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
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  Read more...
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Genre/Form: Conference papers and proceedings
Electronic books
Congresses
Additional Physical Format: Print version:
Freed, Daniel S.
Lectures on field theory and topology.
[Providence, Rhode Island] : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2019]
(DLC) 2019015082
(OCoLC)1099541218
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Daniel S Freed; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.)
ISBN: 9781470453916 1470453916
OCLC Number: 1117637840
Notes: "Support from the National Science Foundation."
Description: 1 online resource (xi, 186 pages) : illustrations
Contents: 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
Series Title: Regional conference series in mathematics, no. 133.
Responsibility: Daniel S. Freed

Abstract:

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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