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Item Details
| Title:
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4-MANIFOLDS AND KIRBY CALCULUS
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| By: |
Robert E. Gompf, Andras I. Stipsicz |
| Format: |
Paperback |
| List price:
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£81.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821809946 |
| ISBN 13: |
9780821809945 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 August, 1999 |
| Edition: |
UK ed. |
| Series: |
Graduate Studies in Mathematics No. 20 |
| Pages: |
558 |
| Description: |
Presents an exposition of Kirby calculus, or handle body theory on 4-manifolds. This book includes such topics as branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. |
| 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. |
| Illustrations: |
300+ illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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