Differential Geometry of Complex Vector Bundles
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Shoshichi Kobayashi
and Shoshichi Kobayashi
About this book
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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Topics
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Frontmatter
i -
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Preface
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Contents
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Chapter I. Connections in Vector Bundles
1 -
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Chapter II. Chern Classes
30 -
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Chapter III. Vanishing Theorems
49 -
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Chapter IV Einstein-Hermitian vector bundles
98 -
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Chapter V. Stable vector bundles
133 -
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Chapter VI. Existence of approximate Einstein-Hermitian structures
193 -
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Chapter VII. Moduli spaces of vector bundles
237 -
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Bibliography
291 -
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Index
299 -
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Notations
303