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Author Scorpan, Alexandru, 1974-

Title The wild world of 4-manifolds / Alexandru Scorpan.

Published Providence, R.I. : American Mathematical Society, 2005.


Location Call No. Status
Physical description xvii, 609 p. 26 cm.
Bibliography Includes bibliographical references and index.
Contents Ch. 1. Higher dimensions and the h-Cobordism theorem -- Ch. 2. Topological 4-manifolds and h-Cobordisms -- Ch. 3. Getting acquainted with intersection forms -- Ch. 4. Intersection forms and topology -- Ch. 5. Classifications and counterclassifications -- Ch. 6. Running through complex geometry -- Ch. 7. The Enriques-Kodaira classification -- Ch. 8. Elliptic surfaces -- Ch. 9. Prelude, and the Donaldson invariants -- Ch. 10. The Seiberg-Witten invariants -- Ch. 11. The minimum genus of embedded surfaces -- Ch. 12. Wildness unleashed : the Fintushel-Stern surgery.
Summary "This book offers a panorama of the topology of simply-connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today." "The structure of the book is modular, organized into a main track of about 200 pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index."--BOOK JACKET.
Subject Four-manifolds (Topology)
Variant Title Wild world of four-manifolds
ISBN 0821837494 (alk. paper)
0821837494 (hbk.) : No price
0821837494 (cased) : No price