The algebraic characterization of geometric 4-manifolds / J.A. Hillman.

Format:

Book

Author/Creator:

Hillman, Jonathan A. (Jonathan Arthur), 1947-

Series:

London Mathematical Society lecture note series ; 198.

London Mathematical Society lecture note series

Language:

English

Subjects (All):

Four-manifolds (Topology).

Homotopy theory.

Physical Description:

ix, 170 pages ; 23 cm.

Place of Publication:

Cambridge, Eng. : Cambridge University Press, 1994.

Summary:

This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces.

Notes:

Includes bibliographical references (pages 160-168) and index.

ISBN:

0521467780

OCLC:

29951147