The Algebraic Characterization of Geometric 4-Manifolds
Download or Read eBook The Algebraic Characterization of Geometric 4-Manifolds PDF written by J. A. Hillman and published by Cambridge University Press. This book was released on 1994-02-03 with total page 184 pages. Available in PDF, EPUB and Kindle.
Author | : J. A. Hillman |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 1994-02-03 |
ISBN-10 | : 9780521467780 |
ISBN-13 | : 0521467780 |
Rating | : 4/5 (80 Downloads) |
Book Synopsis The Algebraic Characterization of Geometric 4-Manifolds by : J. A. Hillman
Book excerpt: 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.