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Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics) - Tapa blanda
Sinopsis
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
De la contraportada
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer
- Año de publicación2018
- ISBN 10 9402414495
- ISBN 13 9789402414493
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas848
- Contacto del fabricanteno disponible
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Differential Geometry and Mathematical Physics
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Springer Netherlands, 2018
ISBN 10: 9402414495
ISBN 13: 9789402414493
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Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a rigorous study of the geometric structure of gauge theoriesProvides a systematic and exhaustive presentation of Dirac operatorsEnriched by an introduction with interesting historical remark. Nº de ref. del artículo: 449919860
Cantidad disponible: Más de 20 disponibles
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Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9789402414493_new
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Differential Geometry and Mathematical Physics
Publicado por
Springer Netherlands Mai 2018, 2018
ISBN 10: 9402414495
ISBN 13: 9789402414493
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 variousmodels 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. 848 pp. Englisch. Nº de ref. del artículo: 9789402414493
Cantidad disponible: 2 disponibles
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Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields
Publicado por
Springer Netherlands, Springer Netherlands, 2018
ISBN 10: 9402414495
ISBN 13: 9789402414493
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 variousmodels 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. Nº de ref. del artículo: 9789402414493
Cantidad disponible: 1 disponibles
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Differential Geometry and Mathematical Physics
Publicado por
Springer Netherlands, Springer Netherlands Mai 2018, 2018
ISBN 10: 9402414495
ISBN 13: 9789402414493
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 848 pp. Englisch. Nº de ref. del artículo: 9789402414493
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