Gauge Field Theory and Complex Geometry

1. Front Matter

   Pages I-XII

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2. Introduction

   • Yuri Ivanovich Manin

   Pages 1-6

3. Grassmannians, Connections, and Integrability

   • Yuri Ivanovich Manin

   Pages 7-60

4. The Radon-Penrose Transform

   • Yuri Ivanovich Manin

   Pages 61-152

5. Introduction to Superalgebra

   • Yuri Ivanovich Manin

   Pages 153-180

6. Introduction to Supergeometry

   • Yuri Ivanovich Manin

   Pages 181-232

7. Geometric Structures of Supersymmetry and Gravitation

   • Yuri Ivanovich Manin

   Pages 233-286

8. Back Matter

   Pages 287-348

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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.

• Kohomologie
• Quantenfeldtheorie
• Supergravitation
• Supersymmetrie
• differential equation
• differential geometry
• quantum field theory
• sheaf cohomology
• strings
• supersymmetry
• twistor geometry

From the reviews: "The mathematical level is rather advanced and is 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

• Max-Planck-Institut für Mathematik, Bonn, Germany

  Yuri Ivanovich Manin

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