4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics)
Sold Out / Out of Stock
Condition: USED (All books are in used condition)
Condition - Very Good The item shows wear from consistent use, but it remains in good condition and functions properly. Item may arrive with damaged packaging or be repackaged. It may be marked, have identifying markings on it, or have minor cosmetic damage. It may also be missing some parts/accessories or bundled items.
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics)
Used Book in Good Condition
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 handlebody 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.