Gauge Field Theory and Complex GeometryFrom 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. |
Contents
II | 7 |
III | 17 |
IV | 23 |
V | 35 |
VI | 41 |
VII | 45 |
VIII | 51 |
IX | 59 |
XXIX | 181 |
XXX | 188 |
XXXI | 192 |
XXXII | 204 |
XXXIII | 206 |
XXXIV | 213 |
XXXV | 216 |
XXXVI | 220 |
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Common terms and phrases
²S_ ²S+ A-module affine connections algebra analogous analytic basis canonical isomorphism complex manifold compute construction coordinates corresponding CP¹ curvature decomposition defined definition denote diagram differential double fibration elements equations exact sequence extension Ɛnd fibration fibres flag formula functions functor G-structure geometry grassmannian holomorphic imbedding induced instanton integrable invertible sheaf isomorphism Lagrangian Lemma Levi-Civita connection linear locally free sheaf matrix metric Minkowski module moduli space monad morphism N¹M neighborhood notation null-geodesics obstruction obtain pair projective Proof Proposition quadric quaternionic Radon-Penrose transform rank real structure restriction Rham self-dual sheaves space-time spinor standard subsheaf subspace superalgebra supercommutative superfields supergravity supermanifold superspace T₁ tangent tautological tensor tensor algebra Theorem theory torsion-free affine connection trivial twistor vanish vector bundle vector fields volume form Yang-Mills field zero