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Full Product Details

Author:   Jose Labastida ,  Marcos Marino
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   25
Dimensions:   Width: 16.00cm , Height: 1.20cm , Length: 24.00cm
Weight:   0.454kg
ISBN:  

9789048167791

ISBN 10:   9048167795
Pages:   224
Publication Date:   28 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Topological Aspects of Four-Manifolds.- The Theory of Donaldson Invariants.- The Theory of Seiberg-Witten Invariants.- Supersymmetry in Four Dimensions.- Topological Quantum Field Theories in Four Dimensions.- The Mathai-Quillen Formalism.- The Seiberg-Witten Solution of N = 2 SUSY Yang-Mills Theory.- The u-plane Integral.- Some Applications of the u-plane Integral.- Further Developments in Donaldson—Witten Theory.

Reviews

From the reviews of the first edition: The present book ... starts with a survey of important topological topics, then reviews the theories of Donaldson and Seiberg-Witten, and describes various aspects of supersymmetery ... . Graduate students, post-docs and junior faculty interested in the interaction of physics and mathematics ... will greatly benefit from this coherent treatment of the subject and the thorough evaluation of its virtues which is, to my knowledge, the first of its kind. (Gert Roepstorff, Zentralblatt MATH, Vol. 1087, 2006) The book is written to be accessible either for physicists who want to know about the topological consequences of supersymmetric quantum field theory, or for mathematicians curious about where the links between Donaldson and Seiberg-Witten theory come from. For both groups it should be a good point of entry to the literature. ... the authors manage to give an end-to-end treatment of the relation between Donaldson and Seiberg-Witten invariants, including a detailed computation of the formula connecting the two for manifolds of Seiberg-Witten simple type. (Andrew Neitzke, Mathematical Reviews, Issue 2006 f)

From the reviews of the first edition: The present book ! starts with a survey of important topological topics, then reviews the theories of Donaldson and Seiberg-Witten, and describes various aspects of supersymmetery ! . Graduate students, post-docs and junior faculty interested in the interaction of physics and mathematics ! will greatly benefit from this coherent treatment of the subject and the thorough evaluation of its virtues which is, to my knowledge, the first of its kind. (Gert Roepstorff, Zentralblatt MATH, Vol. 1087, 2006) The book is written to be accessible either for physicists who want to know about the topological consequences of supersymmetric quantum field theory, or for mathematicians curious about where the links between Donaldson and Seiberg-Witten theory come from. For both groups it should be a good point of entry to the literature. ! the authors manage to give an end-to-end treatment of the relation between Donaldson and Seiberg-Witten invariants, including a detailed computation of the formula connecting the two for manifolds of Seiberg-Witten simple type. (Andrew Neitzke, Mathematical Reviews, Issue 2006 f)

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