4-Manifolds and Kirby Calculus Paperback / softback
Part of the Graduate Studies in Mathematics series
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.
- Format: Paperback / softback
- Pages: 558 pages, 300+ illustrations
- Publisher: American Mathematical Society
- Publication Date: 15/08/1999
- Category: Topology
- ISBN: 9780821809945