The algebraic characterization of geometric 4-manifolds /

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Bibliographic Details
Author / Creator:	Hillman, Jonathan A. (Jonathan Arthur), 1947-
Imprint:	Cambridge : Cambridge University Press, 1994.
Description:	1 online resource (ix, 170 pages).
Language:	English
Series:	London Mathematical Society lecture note series ; 198 London Mathematical Society lecture note series ; 198.
Subject:	Four-manifolds (Topology) Homotopy theory. Four-manifolds (Topology) Homotopy theory. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11181227

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ISBN:	9781107362086 1107362083 0521467780 9780521467780
Notes:	Includes bibliographical reference (pages 160-168) and index. Print version record.
Summary:	This book describes work, largely that of the author, 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. This book is essential reading for anyone interested in low-dimensional topology.
Other form:	Print version: Hillman, Jonathan A. (Jonathan Arthur), 1947- Algebraic characterization of geometric 4-manifolds. Cambridge : Cambridge University Press, 1994 0521467780

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