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  • The Algebraic Characterization of Geometric 4-Manifolds by J.A. Hillman (English

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    • * Item Description

    • The Algebraic Characterization of Geometric 4-Manifolds

      by J.A. Hillman, Jonathan A. Hillman

      Estimated delivery 3-12 business days

      Format Paperback

      Condition Brand New

      Description 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.

      Publisher Description

      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.

      Details

      • ISBN 0521467780
      • ISBN-13 9780521467780
      • Title The Algebraic Characterization of Geometric 4-Manifolds
      • Author J.A. Hillman, Jonathan A. Hillman
      • Format Paperback
      • Year 1994
      • Pages 184
      • Publisher Cambridge University Press
      GE_Item_ID:7725735;

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