Differential geometry of complex vector bundles

By: Kobayashi, ShoshichiLanguage: English Series: Kano Memorial Lectures ; 5Publication details: New Jersey Princeton University press 1987Description: xi, 304pISBN: 9780691632643 (PB)Subject(s): Differntial -- Geomentry | Complex vector -- Bundles | Einstein-Hermitian -- vector bundles | Mathematics
Contents:
1 Connection in vector bundles 2 Chern classes 3 Vanishing theorems 4 Einstein-Hermitian vector bundles 5 Stables vector bundles 6 Existence of approximate Einstein-Hermitain 7 Moduli spaces of vector bundles
Summary: 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.
Item type: BOOKS List(s) this item appears in: New Arrivals (21 November 2024)
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Includes bibliography(291p) and index(299p).

1 Connection in vector bundles
2 Chern classes
3 Vanishing theorems
4 Einstein-Hermitian vector bundles
5 Stables vector bundles
6 Existence of approximate Einstein-Hermitain
7 Moduli spaces of vector bundles

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.

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