Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics.
Originally published in 1987.
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*FrontMatter, pg. i*Preface, pg. vii*Contents, pg. ix*Chapter I.
Connections in Vector Bundles, pg. 1*Chapter II. Chern Classes, pg.
30*Chapter III. Vanishing Theorems, pg. 49*Chapter IV Einstein-Hermitian
vector bundles, pg. 98*Chapter V. Stable vector bundles, pg. 133*Chapter VI.
Existence of approximate Einstein-Hermitian structures, pg. 193*Chapter VII.
Moduli spaces of vector bundles, pg. 237*Bibliography, pg. 291*Index, pg.
299*Notations, pg. 303
