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Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields by Gerd Rudolph, Matthias Schmidt (Paperback, 2018)

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It is intended to be accessible to students starting from a graduate level.

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The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin structures and Dirac operators,- Gauge theory.Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.

Product Identifiers

Publisher
Springer
ISBN-13
9789402414493
eBay Product ID (ePID)
3046418237

Product Key Features

Number of Pages
830 Pages
Language
English
Publication Name
Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields
Publication Year
2018
Subject
Mathematics, Physics
Type
Textbook
Author
Gerd Rudolph, Matthias Schmidt
Format
Paperback

Dimensions

Item Height
235 mm
Item Weight
1276 g
Item Width
155 mm

Additional Product Features

Country/Region of Manufacture
Netherlands
Title_Author
Matthias Schmidt, Gerd Rudolph
Series Title
Theoretical and Mathematical Physics

All listings for this product

item 1 Differential Geometry and Mathematical Physics: Part II. Fibre
AU $44.44
Free postage
item 2 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles,
AU $442.00
Free postage
item 3 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology
AU $475.50
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item 4 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles,
AU $502.00
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Picture 1 of 3

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields by Gerd Rudolph, Matthias Schmidt (Paperback, 2018)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Differential Geometry and Mathematical Physics: Part II. Fibre

item 2 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles,

item 3 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology

item 4 Differential Geometry and Mathematical Physics: Part II. Fibre Bundles,

Best Selling in Adult Learning & University

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Pedagogy of the Oppressed by Paulo Freire (Paperback, 2017)

Owning Your Own Shadow by Robert A Johnson (Paperback, 2009)

The Wretched of the Earth by Frantz Fanon (Paperback, 2001)

Gemstones and Minerals of Australia by Gayle Sutherland, Lin Sutherland (Paperback, 2021)

Black Skin, White Masks by Frantz Fanon (Paperback, 2021)

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