Differential Analysis on Complex Manifolds

Differential Analysis on Complex Manifolds

2008 | Raymond O. Wells, Jr.
The provided text is the preface and table of contents for the third edition of "Differential Analysis on Complex Manifolds" by Raymond O. Wells, Jr. The book is a comprehensive graduate-level text that covers various aspects of complex manifolds, including manifolds and vector bundles, sheaf theory, differential geometry, elliptic operator theory, and compact complex manifolds. The preface highlights the evolution of the topics and the addition of a new appendix by Oscar García-Prada, which focuses on moduli spaces and geometric structures. The appendix aims to provide an overview of recent developments in complex geometry, particularly in the context of moduli spaces and geometric structures on Riemann surfaces. The book is designed to be self-contained and assumes familiarity with first-year graduate-level mathematics, including functional analysis. The preface also expresses gratitude to various colleagues, students, and institutions for their contributions and support throughout the development and publication of the book.The provided text is the preface and table of contents for the third edition of "Differential Analysis on Complex Manifolds" by Raymond O. Wells, Jr. The book is a comprehensive graduate-level text that covers various aspects of complex manifolds, including manifolds and vector bundles, sheaf theory, differential geometry, elliptic operator theory, and compact complex manifolds. The preface highlights the evolution of the topics and the addition of a new appendix by Oscar García-Prada, which focuses on moduli spaces and geometric structures. The appendix aims to provide an overview of recent developments in complex geometry, particularly in the context of moduli spaces and geometric structures on Riemann surfaces. The book is designed to be self-contained and assumes familiarity with first-year graduate-level mathematics, including functional analysis. The preface also expresses gratitude to various colleagues, students, and institutions for their contributions and support throughout the development and publication of the book.
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