Differential Geometry of Complex Vector Bundles
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A01=Shoshichi Kobayashi
Algebraic curve
Algebraic manifold
Algebraic surface
Author_Shoshichi Kobayashi
Automorphism
Category=PBMP
Chern class
Codimension
Coherent sheaf
Cohomology
Complex analysis
Complex dimension
Complex manifold
Complex torus
Complex vector bundle
Complex-valued function
Connection form
Cotangent bundle
Cotangent space
Curvature
Curvature form
Differential geometry
Dimension
Duality (mathematics)
Endomorphism
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Exact sequence
Fiber bundle
Fundamental group
Geometry
Harmonic map
Hartogs' extension theorem
Hermitian matrix
Hodge theory
Holomorphic function
Holomorphic vector bundle
Homomorphism
Identity matrix
Isomorphism theorem
K3 surface
Kahler manifold
Lie algebra
Line bundle
Linear map
Manifold
Mathematics
Mean curvature
Module (mathematics)
Moduli space
Ordinary differential equation
Orthogonal complement
Partial differential equation
Principal bundle
Ricci curvature
Riemann surface
Riemann-Roch theorem
Riemannian manifold
Scalar curvature
Sectional curvature
Serre duality
Sheaf (mathematics)
Special case
Stable vector bundle
Symplectic geometry
Tangent bundle
Tensor field
Theorem
Topology
Unitary matrix
Vector bundle
Vector space
Yang-Mills theory
Product details
- ISBN 9780691603292
- Weight: 539g
- Dimensions: 178 x 254mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
