4-Manifolds and Kirby Calculus

4-Manifolds and Kirby Calculus

4.5 (2 ratings by Goodreads)
By (author)  , By (author) 

Free delivery worldwide

Available. Dispatched from the UK in 2 business days
When will my order arrive?

Expected to be delivered to the United States by Christmas Expected to be delivered to the United States by Christmas


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.
show more

Product details

  • Paperback | 558 pages
  • 189.99 x 266.95 x 34.04mm | 1,224.7g
  • Providence, United States
  • English
  • UK ed.
  • 0821809946
  • 9780821809945
  • 1,128,181

Table of contents

4-manifolds: Introduction Surfaces in 4-manifolds Complex surfaces Kirby calculus: Handelbodies and Kirby diagrams Kirby calculus More examples Applications: Branched covers and resolutions Elliptic and Lefschetz fibrations Cobordisms, $h$-cobordisms and exotic ${\mathbb{R}}^{4,}$s Symplectic 4-manifolds Stein surfaces Appendices: Solutions Notation, important figures Bibliography Index.
show more

Rating details

2 ratings
4.5 out of 5 stars
5 50% (1)
4 50% (1)
3 0% (0)
2 0% (0)
1 0% (0)
Book ratings by Goodreads
Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X