The Geometry of Four manifolds

This book provides the first lucid and accessible account to the modern study of the geometry of four-manifolds.

The Geometry of Four manifolds

This text provides an accessible account to the modern study of the geometry of four-manifolds. Prerequisites are a firm grounding in differential topology and geometry, as may be gained from the first year of a graduate course.

More Books:

The Geometry of Four-manifolds
Language: en
Pages: 440
Authors: Simon Kirwan Donaldson, S. K. Donaldson, P. B. Kronheimer
Categories: Fiction
Type: BOOK - Published: 1990 - Publisher: Oxford University Press

This text provides an accessible account to the modern study of the geometry of four-manifolds. Prerequisites are a firm grounding in differential topology and geometry, as may be gained from the first year of a graduate course.
The Wild World of 4-Manifolds
Language: en
Pages: 614
Authors: Alexandru Scorpan
Categories: Mathematics
Type: BOOK - Published: 2022-01-26 - Publisher: American Mathematical Society

What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. — Robion
Foliations and the Geometry of 3-Manifolds
Language: en
Pages: 384
Authors: Danny Calegari
Categories: Mathematics
Type: BOOK - Published: 2007-05-17 - Publisher: Clarendon Press

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of
Conformal Geometry of Discrete Groups and Manifolds
Language: en
Pages: 531
Authors: Boris N. Apanasov
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: Walter de Gruyter

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to
The Geometry of Walker Manifolds
Language: en
Pages: 159
Authors: Miguel Brozos-Vázquez
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: Morgan & Claypool Publishers

Basic algebraic notions -- Introduction -- A historical perspective in the algebraic context -- Algebraic preliminaries -- Jordan normal form -- Indefinite geometry -- Algebraic curvature tensors -- Hermitian and para-Hermitian geometry -- The Jacobi and skew symmetric curvature operators -- Sectional, Ricci, scalar, and Weyl curvature -- Curvature decompositions