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  3. The Algebraic Characterization of Geometric 4-Manifolds
  • Cited by 22
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    • Publisher:
      Cambridge University Press
      Publication date:
      16 September 2009
      03 February 1994
      ISBN:
      9780511526350
      9780521467780
      DOI:
      https://doi.org/10.1017/CBO9780511526350
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.266kg, 184 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology, Algebra
      Series:
      London Mathematical Society Lecture Note Series (198)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology, Algebra
    Series:
    London Mathematical Society Lecture Note Series (198)
    Information

    Book 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.

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