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Introduction to Complex Manifolds by John M. Lee is a nonfiction available to read on EtoBox.

What is Introduction to Complex Manifolds about?

Cover Contents Preface Chapter 1. The Basics Definitions Holomorphic Maps Covering Manifolds and Quotient Manifolds Some Complex Analysis The Complexified Tangent and Cotangent Bundles Almost Complex Structures Problems Chapter 2. Complex Submanifolds Variations on the Inverse Function Theorem Complex Submanifolds Complex Submanifolds of Projective Spaces The Holomorphic Embedding Problem Problems Chapter 3. Holomorphic Vector Bundles Holomorphic Bundle Tools Holomorphic Line Bundles Line Bundles over Projective Space Applications of Holomorphic Line Bundles Problems Chapter 4. The Dolbeault Complex Decomposing Differential Forms by Type A Poincaré Lemma for the Dolbeault Operator Bundle-Valued Forms Problems Chapter 5. Sheaves Definitions The Étalé Space of a Presheaf Exact Sequences of Sheaves Problems Chapter 6. Sheaf Cohomology Definitions The Long Exact Cohomology Sequence Acyclic Resolutions Sheaf Cohomology and Singular Cohomology Applications of Sheaf Cohomology Other Sheaf Cohomology Theories Problems Chapter 7. Connections Connections on Complex Vector Bundles Curvature The First Real Chern Class The Chern Connection Problems Chapter 8. Hermitian and Kähler Manifolds Herm

Who reads Introduction to Complex Manifolds?

Author

John M. Lee

Publisher

American Mathematical Society

Published

2024

Language

EN

ISBN

9781470477813

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem