Algebraic Characterization Of Geometric 4-Manifolds; Author: Hillman, J. A.; Author: Hillman, Jonathan A.; Paperback

Author: Hillman, J. A.; Author: Hillman, Jonathan A.
London Mathematical Society Lecture Note; Paperback
187 pages
Published: February 1994
Cambridge University Press
ISBN: 0521467780

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.This text 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.