4-Manifolds and Kirby Calculus - Couverture souple

Stipsicz, Andras I.; Gompf, Robert E.

Couverture souple

ISBN 10 : 1470474557 ISBN 13 : 9781470474553

Editeur : American Mathematical Society, 1999

Synopsis

The past two decades have brought explosive growth in 4-manifold theory. Many books are currently appearing that approach the topic from viewpoints such as gauge theory or algebraic geometry. This volume, however, offers an exposition from a topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature. Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research.Part II is devoted to an exposition of Kirby calculus, or handle body theory on 4-manifolds. It is both elementary and comprehensive. Part III offers in depth a broad range of topics from current 4-manifold research. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. Applications are featured, and there are over 300 illustrations and numerous exercises with solutions in the book.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 1470474557
• ISBN 13: 9781470474553
• Reliure: Broché
• Nombre de pages: 558
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible