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    3. The Algebraic Characterization of Geometric 4-Manifolds

    The Algebraic Characterization of Geometric 4-Manifolds

    Posted By: interes
    Date: 24 Jan 2021 23:05:26
    The Algebraic Characterization of Geometric 4-Manifolds

    The Algebraic Characterization of Geometric 4-Manifolds by Jonathan A. Hillman
    English | May 27, 1994 | ISBN: 0521467780 | Pages: 184 | DJVU | 5,5 MB

    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.

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