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Cover: 9783540613787 | Gauge Field Theory and Complex Geometry | Yuri I. Manin | Buch | xii
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Gauge Field Theory and Complex Geometry
Buch von Yuri I. Manin
Sprache: Englisch

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Beschreibung
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
Zusammenfassung
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter)
Inhaltsverzeichnis
From the contents: The subject of the book is an expositon of two new ideas in Math. Phys.: that of twistors and that of supersymmetry. The exposition is geometrized and unified. Applications to the solution of nonlinear differential equations of quantum field theory are given, in particular, to the theory of instantons. The exposition is largely based upon the results of the author, published in physical magazins. The second part of the book, Ch. 3 and 4, contain a mathematical introduction to superalgebra and supergeometry, which can be read independently and used by students in algebra and geometry. For the first time in mathematical literature an introduction to the geometry of supergravity is given. Methods of complex geometry, in particular sheaf cohomology, are used throughout. Since the newest quantum field theory, dealing with (super)unification schemes and (super)strings uses more and more of complex geometry, this book may serve to introduce both physicists and mathematicians to this quickly expanding new domain.
Details
Medium: Buch
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xii
348 S.
ISBN-13: 9783540613787
9783540182757
ISBN-10: 3540613781
3540182756
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Manin, Yuri I.
Übersetzung: King, J. R.
Koblitz, N.
Auflage: 2nd ed. 1997
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 25 mm
Von/Mit: Yuri I. Manin
Erscheinungsdatum: 20.05.1997
Gewicht: 0,711 kg
Artikel-ID: 102146921
Zusammenfassung
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter)
Inhaltsverzeichnis
From the contents: The subject of the book is an expositon of two new ideas in Math. Phys.: that of twistors and that of supersymmetry. The exposition is geometrized and unified. Applications to the solution of nonlinear differential equations of quantum field theory are given, in particular, to the theory of instantons. The exposition is largely based upon the results of the author, published in physical magazins. The second part of the book, Ch. 3 and 4, contain a mathematical introduction to superalgebra and supergeometry, which can be read independently and used by students in algebra and geometry. For the first time in mathematical literature an introduction to the geometry of supergravity is given. Methods of complex geometry, in particular sheaf cohomology, are used throughout. Since the newest quantum field theory, dealing with (super)unification schemes and (super)strings uses more and more of complex geometry, this book may serve to introduce both physicists and mathematicians to this quickly expanding new domain.
Details
Medium: Buch
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xii
348 S.
ISBN-13: 9783540613787
9783540182757
ISBN-10: 3540613781
3540182756
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Manin, Yuri I.
Übersetzung: King, J. R.
Koblitz, N.
Auflage: 2nd ed. 1997
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 25 mm
Von/Mit: Yuri I. Manin
Erscheinungsdatum: 20.05.1997
Gewicht: 0,711 kg
Artikel-ID: 102146921
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